Find an explicit formula for the geometric sequence -1,-7,-49,-343,.... Note : the first term should be d(1) . d(n) =
Answers
Given:
The geometric sequence is
[tex]-1,-7,-49,-343,...[/tex]
To find:
The explicit formula for the given geometric sequence.
Solution:
We have,
[tex]-1,-7,-49,-343,...[/tex]
Here, the first term is -1 and the common ratio is
[tex]r=\dfrac{-7}{-1}[/tex]
[tex]r=7[/tex]
The explicate formula of a geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first terms and r is the common ratio.
The first terms is d(1)=-1 and the common ratio is 7. So, the explicit formula is
[tex]d(n)=d(1)(7)^{n-1}[/tex]
[tex]d(n)=-1(7)^{n-1}[/tex]
[tex]d(n)=-(7)^{n-1}[/tex]
Therefore, the explicit formula for the given geometric sequence is [tex]d(n)=-(7)^{n-1}[/tex].
Related Questions
A garment is on sale for 35% off the regular price. If the regular price is $48.80, then what is the sale price?
A $16.27
B. $17.08
C. $31.72
D. $32.53
Answers
Answer:
$31.72
Step-by-step explanation:
Discount = 48.8 x 0.35
Total is $31.72
Answer:
Step-by-step explanation:
31.72
l=21 ft, w=19 ft
pls help me
Answers
Answer:
Uhhhhh, theres no question but if you want the perimeter or area then use my equations below.
A = Length x Width
P = Length^2 x Width^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Help fast if it’s correct I’ll make you the Brainly thing
) Which of the following expressions have a negative product?
Choose ALL the correct expressions.
9. 10
- 8.8
11. (-2)
- 6.7
-3. (-4)
-5. (-5)
Answers
-8.8
11(-2)
-6.7
An advertising banner has four sections as modeled below. Two sections are congruent trapezoids and two sections are congruent right triangles.
Answers
Complete question is;
An advertising banner has four sections, as modeled in the attached image. Two sections are congruent trapezoids, and two sections are congruent right triangles. Which measurement is the best estimate of the area of the banner in square meters?
Answer:
6 m²
Step-by-step explanation:
Since we are told that there are two congruent trapezoid, it means that they will have same base of 1m.
This Means the total base of the entire triangle will be;
Base = 1 + 1¾ + 1 + 1¾ = 5.5 m
Height of main triangle = 2 m
Thus,
Area = ½ × 5.5 × 2 = 5.5 m²
We are looking for best estimate, so let's approximate to the nearest whole number to get 6 m²
Answer:
6 m²
Step-by-step explanation:
Since we are told that there are two congruent trapezoid, it means that they will have same base of 1m.
his Means the total base of the entire triangle will be;
Base = 1 + 1¾ + 1 + 1¾ = 5.5 m
Height of main triangle = 2 m
Now you have
Area = ½ × 5.5 × 2 = 5.5 m²
We are looking for best estimate, so if you round 5.5 now remember 5 or more raise the score 4 or less let it rest leaving you with 6 m².
Jon has $72 in his bank account. In order to avoid fees, he must maintain a minimum balance of $12. He wants to buy comic books that cost $1.50 each. Which graph shows the number of comic books, x, he can buy?
Answers
Answer:
40 comic books
Step-by-step explanation:
well i dont see a graph but i can give you x, the number of comic books he can buy!
so if he must have a minimum balance of $12 and right now he has $72 then we subtract those and see how much money he has to spend
so that gives us $60 to spend on the comic books
so if each comic book costs $1.50 then we divide that into the $60 leaving us with
40 comic books that jon can buy!
Answer:40 comic books
Step-by-step explanation:
Help please please
:)
Answers
Answer:
w^64
Step-by-step explanation:
Multiply the exponents by each other so 8x8 which would be 64. So W to the power of 64
SAMPLE QUESTION FOR 5 POINTS
A train traveling at a steady speed crossed a bridge which was 200 m long in 1 minute. The
whole train passed a person standing on the bridge in 12 seconds. How long was the train?
A) 100 m
B) 60 m C) 50 m D) 40 m E) 75 m
Answers
Length of the train is 40 m. Therefore, option C is the correct answer.
Given that, a train traveling at a steady speed crossed a bridge which was 200 m long in 1 minute.
What is speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Now, 1 minute = 60 seconds
Here, speed of train = 200/60 = 3.33 m/s
Length of train = 3.33 × 12
= 39.96 m
≈ 40 m
Length of the train is 40 m. Therefore, option C is the correct answer.
To learn more about the speed, distance, time visit:
https://brainly.com/question/9834403.
#SPJ2
Find the measure of angle P in the triangle below
Answers
Answer:
since its an isosceles trigon and OR=OP then angle P is going to be equal with angle R so P=R=50°
Answer:
65° is the answer of your question
please follow me and leave a ♡ like
Please help need ASAP!
Answers
Answer: Approximately 49 degrees
A slightly more accurate angle value is about 49.458398 degrees.
======================================================
Explanation:
Draw a right triangle as shown in the diagram below. The horizontal leg is 13 ft and the hypotenuse is 20 ft. The angle between these two sides is what we want to find.
With this reference angle, the adjacent side is 13 and the hypotenuse is 20. We use the cosine ratio to tie the sides together with this angle.
Let x be the unknown angle.
cos(angle) = adjacent/hypotenuse
cos(x) = 13/20
cos(x) = 0.65
x = arccos(0.65)
x = 49.4583981264954
x = 49
I'm rounding to the nearest whole number since the given values (13 and 20) are also whole numbers. If your teacher provides other rounding instructions, then be sure to follow that of course.
The angle of elevation is roughly 49 degrees. Make sure your calculator is in degree mode. The notation "arccos" stands for "arccosine" and it's the same as inverse sine.
in the figure below explain why line p is or isn't parallel to line q
Answers
Answer:
Step-by-step explanation:
If the lines were parallel the angle measruing 72 and the angle measuring 109 would add up to 180 degrees(corrosponding and theroum ,sum of angles on line)
draw the graph of functions y=x^2(x-2)
Answers
Answer: x-intercept(s): (2,0),(−1,0)(2,0),(-1,0)
x-intercept(s): (2,0),(−1,0)(2,0),(-1,0)y-intercept(s): (0,−2)
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x.
0=x2−x−2
Solve the equation.
Rewrite the equation as x2−x−2
Factor x2−x−2 using the AC method.
(x−2)(x+1)=0
Set x−2 equal to 0 and solve for x.
x=2
Set x+1x+1 equal to 00 and solve for xx.
x=−1
The solution is the result of x−2=0x-2=0 and x+1=0
x=2,−1
The length of a rectangle is 5 inches longer than it is wide. If the perimeter is 38 inches, what are the dimensions of the rectangle?
The width, or shorter side is ______
inches.
The length, or longer side is _____
inches.
Answers
Answer:
shorter side = 7 in
longer side = 12 in
Step-by-step explanation:
Let w = width
then w + 5 = length
The perimeter of the rectangle = 2 widths + 2 lengths.
So, w + w + w + 5 + w + 5 = 38 or 2w +2(w + 5) = 38 are two ways to write the equation to solve the problem.
Now 4w + 10 = 38
4w = 28
w = 7
w + 5 = 7 + 5 = 12
shorter side = 7 in
longer side = 12 in
Check: 7 + 7 + 12 + 12 = 38 = perimeter
What's two numbers that total 26 and have a difference of 6
Answers
Answer:
3?
Step-by-step explanation:
Find the value of y when x=2 y=1/7(x+5)
Answers
Answer:
y = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
y = 1/7(x + 5)
x = 2
Step 2: Evaluate
Substitute in x: y = 1/7(2 + 5)(Parenthesis) Add: y = 1/7(7)Multiply: y = 1
2. There are 1800 students enrolled at Springfield College, and 65% of them are female.
a) How many students are female?
b) What percent of the student body is male?
c) How many male students are there?
Answers
Answer:
a) 1170
b) 35%
c) 630
Step-by-step explanation:
simplify the following exponential notations of 3².34
Answers
Answer:
13.0756635147 or just 13
I hope this helps:D
Need help geometry
Fill in the blank. Use ∆ABC to answer the following:
Answers
Answer:
6 inches
Step-by-step explanation:
∆ABD and ∆ACD are exactly the same, only back-to-back
So the base of both triangles are 3 inches
3 + 3 = 6
Thus, the length of line BC is 6 inches
m∠1 = 90°
/_ CAD = 45°
S
849
60°
А
M
Find the measure of ZM.
A)
14°
B)
24°
26°
D)
36
Answers
Answer:
D: 36
Step-by-step explanation:
Since all angles inside a triangle equal to 180 we can do 180-60-84 to get 36.
HELPPP ME PLEASE IVE BEEN 2 hours IN THIS QUESTIONN
Answers
9514 1404 393
Answer:
12.9 square yards
Step-by-step explanation:
The base is an equilateral triangle, so we can assume that the three faces have the same dimensions. Each of those face triangles has an area of ...
A = 1/2bh
A = 1/2(3 yd)(2 yd) = 3 yd²
The base area is computed using the same formula and the given height:
A = 1/2(3 yd)(2.6 yd) = 3.9 yd²
Then the total surface area is that of the base and the three faces:
SA = (3.9 yd²) + 3(3 yd²) = 12.9 yd² . . . total surface area
What is 25% of $8? $ Submit
Answers
Answer:
2 dollars?
Step-by-step explanation:
8 divided by 4
please help! asap!!!!
Answers
Answer:
Informal letter
1.since April 2020, you haven't gone outside ,not visited any place you isolated yourself for safety . Write a letter to your friend describing him oblic her about how you spent that time in home , how became meantaly strong.200-250
2673 is what percent of 486?
Answers
Answer:
vhil vhil vhil :P
Step-by-step explanation:
hows ur da im kai and i hope u have a lovley day remember u r an awsomw person ly~
Answer:
around 571% or to be more exact, around 571.15384615%
Step-by-step explanation:
468 = 100%
2673 = ?
2673/468 = 297/52 = 5.71153846...≈5.7
468 * 2673/468 = 100%* 2673/468
2673 ≈571.15384615%
% ≈ 571%
In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 9 in the tenths place is Response area the value of the 9 in the hundredths place.
Answers
Answer:
the 9 in the tenths place is 10 times bigger than the one in the hundredths place
Step-by-step explanation:
The value of the 9 in the tenth place is "10 times" the value of the 9 in the hundredth place.
What is the place value strategy?Place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, using your place values, such as tens and hundreds.
The decimal we are examining is 3.9928.
The 9 in tenth place has a value of 0.9.
The value of 9 in the hundredth place is 0.09
The fraction of the 9 in the tenth place is now the 9 in the hundredth place.
To get this, simply multiply the value of 9 in the hundredth place by the value of 9 in the tenth place.
Mathematically, that would be;
0.09/0.9 = 0.1 = 1/10
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
So you can complete the statement by dragging and dropping "10 times" into the response area.
Learn more about the place value strategy here:
brainly.com/question/654419
#SPJ2
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
m = 1.49
b = 5.50
equation y = 1.49x + 5.50
Non-proportional
Positive Slope
Juliet has a role in the school play she recorded the amount of time she practice her lines each day this week in the table below on Tuesday she practiced 2/3 of the time that she practiced on Wednesday how many hours did she practice 
Answers
Answer:
what's the table? but you solve it multiply however long she practiced on Wednesday by 0.66
Answer:
5/9
Step-by-step explanation:
i sacrificed a mistake on khanacademy just for this.
U DONT NEED IT
so
u
cannot
say
that
i
didnt
give
the
right
answer
n00bs
Two trains, Train A and Train B, weigh a total of 389 tons. Train A is heavier than Train B. The difference of their weights is 263 tons. What is the weight of each train? Equation 1: ____________ Equation 2: ___________ Train A weight: ________ Train B weight: ________
Answers
"My friend here Justin, he's already taken, and he's cracked at Fortnite my guy.
I've been contemplating this video a ton of late. I've been considering the video since it gives a provocative message and keen editorial about enslavement and fixation.
To start with, we should take this word by word. The initial segment of the primary sentence; the principal shimmer of gold, is "My friend here Justin" An everyday sentence from the outset, however kindly recollect what I said, to arrive at the pot of gold at the focal point of the cavern of incongruity is justified, despite any trouble. This little portion of the sentence addresses that the storyteller has a companion named Justin. The principal word is possessive; my, and companion here addresses the kid before the camera is indeed Justin, showed by the storyteller naming Justin just after saying companion here. How the storyteller we never see, and even the way that we never see the storyteller entreats us to embed ourselves into them.
"He's taken" This passage is clear as crystal, aside from one section. "He" shows the subject of the sentence; Justin, is "now" demonstrating that Justin has as of now and is "taken". The virtuoso of this sentence is unpretentious yet significant pleasantry in "taken", as in the old style utilization of this sentence it would imply that Justin is associated with a sentimental or sexual relationship.
"Also, he's cracked at Fortnite" the biggest portion, consequently the one generally stuffed with significance, this selection is the zenith of the multitude of different passages of the sentence. "Also, expands on the last selection demonstrating this is the continuation of the story, and "He's cracked at Fortnite" is the star proclamation of this extract.
In general, this show-stopper addresses the narrative of a man's compulsion breaking him while fusing the absolute best incongruity and pleasantry I've ever seen, all done in one video, eight seconds, one sentence, and fourteen words.
Answers
Answer:
Thanks
Step-by-step explanation:
Answer:
Amazing but what is the question
Step-by-step explanation:
Find sin , and sin G.
Answers
Answer:
24/25 sin F. 7/25 sin G
Step-by-step explanation:
because sin = opp/hyp at angle F ,angle G
sin F = 0.96, sin G = 0.28
Step by step explanation:
For finding sin, the formula is
Sin = Opposite / Hypotenuse
sin F = 96/100
sin F = 24/25 or 0.96
and
sin G = 28/100
sin G = 7/25 or 0.28
Hope it helps!
Tom saves 50% of his paycheck. If his
pay is $148, how much will he save?
Answers
Answer:
triangllllllllllllllllllllllllllllllllllllleeeee
Step-by-step explanation:
Answer:
$74
Step-by-step explanation:
50% means he saves half of his paycheck
148 ÷ 2 = 74
Thus, he saves $74 from his paycheck
Please help fast!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x² + 2x - 6
Step-by-step explanation:
= f(x) + g(x)
= (2x + 1) + (x² - 7)
= 2x + 1 + x² - 7
= 2x - 6 + x²
= x² + 2x - 6
good luck, i hope this helps :)