if an is defined as a geometric sequence, is the sequence 1/an also a geometric sequence? explain your reasoning.
Answers
Answer:
Since An/An-1 = r
(1/An)/(1/An-1) = An-1/An = 1/r
so, the ratio between terms is still constant.
Step-by-step explanation:
If an is defined as a geometric sequence, is the sequence 1/an also a
geometric sequence because the ratio between terms remain constant.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
(till the terms to which it is defined)
Thus, the nth term of such sequence would be[tex]T_n = ar^{n-1}[/tex]
Since An/An-1 = r
(1/An)/(1/An-1) = An-1/An = 1/r
Therefore, the ratio between terms is still constant.
Learn more about geometric sequence here:
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Related Questions
Jan is 10 years younger than Michael. Jan is 65. How old is Michael?
HELP ME NOW!!
Answers
Answer:
75
Step-by-step explanation:
65 + 10 = 75
What is the slope of the line that contains the point (3, 9) and (3, 4)?
A) 6/5
B) 6/13
C) Zero
D) Undefined
Answers
Answer:
D) Undefined slope
Step-by-step explanation:
Note that the x-coordinate (3) of both given points is 3. This means that the two points lie on a vertical line. The slope of a vertical line is undefined.
The correct answer is D) Undefined slope
Brainliest for correct answer
For A(1, 1), B(4, 5), and C(4, 1), find all locations of a fourth point, D, so that a parallelogram is formed using A, B, C, D in order as vertices.
Answers
Answer:
isn't it that a parallelogram has 6 sides and these are 4?????????............
Please help me as soon as possible
Answers
Answer:
you will time 2 by 2 then 4 by 4 you get 4 and 16 the multipl
those So you get 64 inches is your anser
Hey could someone please help me with this really hard assignment is taking me forever. Thank you marking brainliest!
Answers
Answer:
Exercise 1: The length of the unknown leg is 4 inches.
Exercise 3: The following straws can be used to construct the triangle: b) [tex]3\,in[/tex], c) [tex]4.5\,in[/tex], d) [tex]6.5\,in[/tex], e) [tex]10\,in[/tex], f) [tex]13.5\,in[/tex]
Exercise 4: Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)
Step-by-step explanation:
Exercise 1:
Let suppose that triangle represented in the figure is a right triangle, the length of the missing leg is determined by Pythagorean Theorem:
[tex]y = \sqrt{l^{2}-x^{2}}[/tex] (1)
Where:
[tex]l[/tex] - Hypotenuse, in inches.
[tex]x[/tex] - Known leg, in inches.
[tex]y[/tex] - Unknown leg, in inches.
If we know that [tex]l = 11\,in[/tex] and [tex]x = 10\,in[/tex], then the length of the unknown leg is:
[tex]y = \sqrt{21}[/tex]
Since 4 is the least whole number closest to [tex]\sqrt{21}[/tex], then we conclude that the length of the unknown leg is 4 inches.
Exercise 3:
The range of possible lengths for the missing side of the triangle is represented by the following simultaneous inequality:
[tex]x + y > l > x-y[/tex] (2)
Where:
[tex]x[/tex] - Greater side, in inches.
[tex]y[/tex] - Lesser side, in inches.
[tex]l[/tex] - Missing side, in inches.
If we know that [tex]x = 8\,in[/tex] and [tex]y = 6\,in[/tex], then we have the following range of missing sides:
[tex]14\,in > l > 2\,in[/tex]
The following straws can be used to construct the triangle: b) [tex]3\,in[/tex], c) [tex]4.5\,in[/tex], d) [tex]6.5\,in[/tex], e) [tex]10\,in[/tex], f) [tex]13.5\,in[/tex]
Exercise 4:
Let check each pair to determine possible constructions by means of the inequality used in Exercise 3:
(i) [tex]x = 4\,in, y = 2\,in[/tex]
[tex]6\,in>l>2\,in[/tex]
Possible choices: 5 inches.
(ii) [tex]x = 5\,in, y = 2\,in[/tex]
[tex]7\,in > l > 3\,in[/tex]
Possible choices: 4 inches, 6 inches.
(iii) [tex]x = 6\,in, y = 2\,in[/tex]
[tex]8\,in > l > 4\,in[/tex]
Possible choices: 5 inches, 6 inches.
(iv) [tex]x = 10\,in, y = 2\,in[/tex]
[tex]12\,in > l > 8\,in[/tex]
Possible choices: None.
(v) [tex]x = 5\,in, y = 4\,in[/tex]
[tex]9\,in > l > 1\,in[/tex]
Possible choices: 2 inches, 6 inches.
(vi) [tex]x = 6\,in, y = 4\,in[/tex]
[tex]10\,in > l > 2\,in[/tex]
Possible choices: 5 inches.
(vii) [tex]x = 10\,in, y = 4\,in[/tex]
[tex]14\,in > l > 6\,in[/tex]
Possible choices: None.
(viii) [tex]x = 6\,in, y = 5\,in[/tex]
[tex]11\,in > l > 1\,in[/tex]
Possible choices: 2 inches, 4 inches, 10 inches.
(ix) [tex]x = 10\,in, y = 5\,in[/tex]
[tex]15\,in > l > 5\,in[/tex]
Possible choices: 6 inches.
(x) [tex]x = 10\,in, y = 6\,in[/tex]
[tex]16\,in > l > 4\,in[/tex]
Possible choices: 5 inches.
Possible options of this exercise: 1) (2, 4, 5), 2) (4, 5, 6), 3) (5, 6, 10), 4) (1, 2, 11), 5) (1, 4, 11), 6) (1, 10, 11)
Answer: Give other user brainliest
Step-by-step explanation:
Please hurry I'm being timed....
Answers
Answer: [tex]2\sqrt{34[/tex]
Step-by-step explanation: The answer simplified is 2 radical 34
Plzz help me! I will mark brainiest!!
Create the equation of a quadratic function with a vertex of (-3, 7) and a y-intercept of -2.
Please put the answer in the form: ax^2 + bx + c
Answers
Answer:
mhuaaa
Step-by-step explanation:
papapapapapapapapa
I need help thank you
Answers
Answer:
Select All
Step-by-step explanation:
they all are correct
A circle has a circumference of 9π m.
What is the area of this circle?
Answers
Answer:
20.25 m²
Step-by-step explanation:
hope this helps
Chloe used an inequality to model the number of minutes she has available to practice piano after school on Thursday.
The solution to her inequality is graphed below.
42 43 44 45 46 47 48 49 50 51 52
How should Chloe interpret this solution?
O She will have a minimum of 45 minutes available to practice.
O She will have a maximum of 45 minutes available to practice.
O She will have fewer than 45 minutes available to practice.
O She will have more than 45 minutes available to practice.
Answers
Answer:
b
Step-by-step explanation:
edge 2020-2021
(xoxo proud of you <3)
find the solution to the system of equations? 4x-3y-z=3 , -3x+5y+z=9, x+2z=6
Answers
Answer:
is this the one?
Step-by-step exExplanation:
Adding third equation to first one,
7
x
+
5
y
+
z
+
x
−
6
y
−
z
=
0
−
18
or
8
x
−
y
=
−
18
.
(
1
)
Adding 2 times of third one to second one,
−
x
+
3
y
+
2
z
+
2
⋅
(
x
−
6
y
−
z
)
=
16
−
2
⋅
18
or
x
−
9
y
=
−
20
(
2
)
Substracting 8 times of
(
2
)
from
(
1
)
,
8
x
−
y
−
8
⋅
(
x
−
9
y
)
=
−
18
−
8
⋅
(
−
20
)
71
y
=
142
, so
y
=
2
Hence,
x
−
9
⋅
2
=
−
20
or
x
−
18
=
−
20
, so
x
=
−
2
Thus,
7
⋅
(
−
2
)
+
5
⋅
2
+
z
=
0
or
z
−
4
=
0
, so
z
=
4Explanation:
Adding third equation to first one,
7
x
+
5
y
+
z
+
x
−
6
y
−
z
=
0
−
18
or
8
x
−
y
=
−
18
.
(
1
)
Adding 2 times of third one to second one,
−
x
+
3
y
+
2
z
+
2
⋅
(
x
−
6
y
−
z
)
=
16
−
2
⋅
18
or
x
−
9
y
=
−
20
(
2
)
Substracting 8 times of
(
2
)
from
(
1
)
,
8
x
−
y
−
8
⋅
(
x
−
9
y
)
=
−
18
−
8
⋅
(
−
20
)
71
y
=
142
, so
y
=
2
Hence,
x
−
9
⋅
2
=
−
20
or
x
−
18
=
−
20
, so
x
=
−
2
Thus,
7
⋅
(
−
2
)
+
5
⋅
2
+
z
=
0
or
z
−
4
=
0
, so
z
=
4planation:
Expand (Explain your work)
(3p - 2)^2
Answers
Answer:
9p^2-12p+4
Step-by-step explanation:
Apply perfect square formula;
a=3p , b=2
Apply perfect square formula;
(3p)^2-2*3p*2+2^2
Simplify:
=9p^2-12p+4
find the length of the missing side
Answers
Answer:
x = 11.1
Its a right angle triangle with the values of its adjacent and hypotenuse given so cos is used.
Solomon is wrapping presents for his 7 teachers. The box is shaped like the figure below. How much wrapping paper will Solomon need to cover all 7 boxes?
is the answer 907.2? i just need confirmation <3
Answers
Answer:
He said " How much wrapping paper will Solomon need to cover all 7 boxes" so its probably 7-10 i think
Step-by-step explanation:
haha 900 is too much :) good try
Identify the type of solution from a graph.
Answers
Answer:
the answerrrr I believe is C
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 5% each year. One year after it was purchased, the value of the savings bond was $131.25. Find the value of the bond when Tyler's mom purchased it. The value of the bond when his mom purchased it was? Enter only the numeric value, no symbols or spaces. $
.
Answers
Answer:
125
Step-by-step explanation:
131.25 105
of 100
Cross multiply process
131.25x100=108x?
131.25x100=13125
13125=108?
13125/108=?
125=?
:)
A monkey weighs 8.2 kilograms. How many grams does the monkey weigh? Use the number of zeros of the product when multiplying a number by a power of 10 to help you. (2 points)
A. 8,200 grams
B. 820 grams
C. 82,000 grams
D. 82 grams
Answers
Answer:
8,200= A)
Step-by-step explanation:
HELP I NEED HELP!! ASSIGNMENT DUE IN A FEW MINUTES. QUESTION IN PICTURE. WORTH 20 POINTS PLEASE HELP
Answers
Answer: the question is asking you to basically plot the point so you should plot the point by using desmos graphing calculator, and you should get the answer.
Step-by-step explanation:
class 9
if (x+1) is a factor of x³+2x²-5x-6, then factorise it.
please give me the answer fast...
Answers
9514 1404 393
Answer:
(x +3)(x +1)(x -2)
Step-by-step explanation:
A graphing calculator is a good tool for finding factors fast. Each zero (p) gives rise to a factor (x -p).
The graph shows zeros at -3, -1, and 2, so your factorization is ...
(x +3)(x +1)(x -2)
I’ll give brainliest
Answers
0.9 x 133 = 119.7
Yes
Fill in each box with a ratio (aka fraction) that represents the Sin, Cos, or Tan for the angle
specified. (Hint: Soh Cah Toa) Next to each fraction, write it simplified in decimal form.
Please help I need to pass my class
Answers
Answer:
Step-by-step explanation:
sin(D) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{7}{14}[/tex]
= [tex]\frac{1}{2}[/tex]
= 0.5
cos(D) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{12.124}{14}[/tex]
= 0.866
tanD = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{7}{12.124}[/tex]
= 0.577
Since, sinE = cosD
Therefore, sinE = 0.866
Since, cosE = sinD
Therefore, cosE = 0.5
Since, tanE = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{12.124}{7}[/tex]
= 1.732
Which statement is true?
0 3<-3
0 -333
-13 > -10
-10 > -13
I need help
Answers
Answer:
3<-3 FALSE
0>-333 True
-13>-10 false
-10>-13 true
Answer:
-10 > -13
Step-by-step explanation:
On a number line (I wanna see if this works lol)
|___|___|___|___|___|___|
-15 -14 -13 -12 -11 -10 -9
can I please get help?!
Answers
Answer:
The answer is d.
Step-by-step explanation:
x is "a number." When a variable and a number are next to each other, they are being multiplied. So it's 7 times a number. Then you take the product of that and add 2.
So, d is the correct answer. :D
Find the area of the polygon. Note that the figure is not drawn to scale.
Need an answer ASAP! If possible, I will give Brainliest.
Answers
Answer:
66
Step-by-step explanation:
1
Solve for x ( and V)
2
Show Your Work
14
48
X
Answers
Use pythagoras theorem
x² = 48² + 14²
x² = 2500
x = √2500
x = 50
Describe the steps to solve using the Quadratic Formula:
Answers
Answer:
Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add. ...
Find the square root of both sides of the equation.
Solve the resulting equation.
The radius of a salad bowl is 8.9 inches. What is the surface area of the bowl? (Assume the bowl is half a sphere and use 3.14 for ).
a. 3979.51 in2
b. 994.88 in2
c. 497.44 in2
d. 52.92 in2
Answers
Answer:
994.88 in2
Step-by-step explanation:
Use the surface area formula SA = 4(pi)(r2) which results in SA = 4(3.14)((8.9)2) = 994.88 square inches. Because the bowl represents half a sphere, it is necessary to divide that answer by 2 to get the surface of the bowl.
If radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that radius of a salad bowl is 8.9 inches.
We have to find the surface area of the bowl
The surface area of a half-sphere is given by the formula:
SA = 2πr²
where r is the radius of the sphere.
In this case, the radius of the salad bowl is 8.9 inches.
Substituting this value into the formula, we get:
SA = 2 x 3.14 x (8.9)²
SA = 497.44 square inches
Surface area =497.44 square inches
Hence, if radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.
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There are 5 4/11 pounds of green apples. There are 3 2/3 times as many red apples. How many pounds of red apples are there?
15 8/33
19 2/3
1 3/16
3 1/16
Answers
Answer:
19 2/3
Step-by-step explanation:
5 4/11 * 3 2/3 = 19 2/3.
La máquina de una fábrica de tornillos produce el 63% de la producción diaria mientras que la máquina b produce el 27% la máquina tiene una probabilidad del 1.5% de producir tornillos defectuosos la máquina b produce con 3% de defectuosos
a) ¿cuál es la probabilidad de que al tomar un tornillo de la producción total y éste sea defectuoso?
b) ¿cuál es la probabilidad de que al tomar al azar un tornillo defectuoso éste haya sido producido por la máquina b?
Answers
Lisa is planning for a party. She receives quotes from two party planners. Choice A quotes $18 per guest, plus $100 for renting the party hall. Choice B quotes $15 per guest, plus $160 for renting the party hall. Which inequality represents the number of guests Lisa can invite, if choice A were to cost less than choice B?
Answers
Answer:
x<20
Step-by-step explanation:
Building linear functions for each situation, the inequality is:
[tex]18x + 100 < 15x + 160[/tex]
------------------
Choice A:
$18 per guest.$100 for renting.Thus, the cost of inviting x guests is given by:
[tex]C_a(x) = 18x + 100[/tex]
Choice B:
$15 per guest.$160 for renting.Thus, the cost of inviting x guests is given by:
[tex]C_b(x) = 15x + 160[/tex]
A cost less than B, thus, the inequality is:
[tex]C_a(x) < C_b(x)[/tex]
[tex]18x + 100 < 15x + 160[/tex]
A similar problem is given at https://brainly.com/question/13270950