Write an explicit formula that represents the sequence defined by the following recursive formula
HELP IM TIMED
Answers
Answer:
The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first termd is the common difference between each two consecutive termsn is the position of the number∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a[tex]_{n}[/tex] = -1 + (n - 1)(-6)
∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)
∴ a[tex]_{n}[/tex] = -1 + -6n - (-6)
∴ a[tex]_{n}[/tex] = -1 - 6n + 6
→ Add the like term
∴ a[tex]_{n}[/tex] = 5 - 6n
∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Related Questions
What is the slope of the line 4y = 8x+ 3 ?
Answers
Answer:
[tex]2[/tex]
Step-by-step explanation:
[tex]4y=8x+3[/tex]
To identify the slope of the line, the equation must be in the format [tex]y=mx+b[/tex], in which [tex]m[/tex] is representative of slope.
Begin by dividing both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]4[/tex]:
[tex]y=2x+\frac{3}{4}[/tex]
[tex]m=2[/tex]
Therefore, the slope of the line is 2.
-
You can check your work by graphing, and identifying the "rise over run", of the graph. This can be done by counting the distance from one point your graph to another.
Whats 5+5+5+5+5+5+5+5+5+5+5+5+10+10+10+10 ????? Help!!!
Answers
Answer:
100!!
Step-by-step explanation:
Hope this helps
Answer:
100
Step-by-step explanation:
5 x 12 = 60 +10 + 10 +10 +10
60 +40= 100
PLEASE HELP!
Estimate 132% of 42
Answers
Answer:
55.44 i believe
Step-by-step explanation:
Please I need helppp
A)the vertex is (0,15)
B)h=2 and k=3
C)h=3 and k=2
D) (2,3) can be used as the extra point
E) the value in the equation is positive
F) the value in the equation is negative
Answers
Answer: ksbddbcxkdbdijc
Step-by-step explanation:
You borrow $7,000 from the Overton Credit Union to buy a used car. The credit union charges 6% interest, compounded monthly for 5 years. What’s the total amount you will have to pay back for this loan?
A= P(1+r/n) ^nt
A=Total amount after
P=Initial
r=percent rate as a decimal
n=number of times per year
t=time in years
O $7,431.74
O $9,441.95
O $9,367.58
O $9,380.67
Answers
P=7000
r=0.06
m=12
t=5
n=12(5)=60
Substitute into formula
Ned help please ASAP!!!!!
Answers
If
A. Acute
B. Obtuse
C. Right
D. Straight
Answers
Answer:
This question does not make sense. Is their an image that needs to be included?
Step-by-step explanation:
Answer:
Angle EAT is acute
Step-by-step explanation:
4(y-9)
brainlist question
Answers
Answer:
4y-36
Step-by-step explanation:
you distribute the 4 to y and 9
(4 x y) - ( 4 x 9)
4y - 36
A riverbank has been colonized by mink. They are an alien species that attacks local wildlife. The river authority traps and removes the minks. Each year it reduces the number by 60%. What percentage of the mink remain after 4 years?
Answers
Answer:
24%
Step-by-step explanation:
it is easy when you multiply 6 and 4 to know how many minks remain
A bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles. If Mya takes one marble at a time at random, what is the probability that she takes out a red marble the first time and a green marble the second?
Answers
Answer:
The probability that she takes out a red marble the first time and a green marble the second
P(E₁ ∩ E₂ ) = P(E₁) P(E₂)
[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]
Step-by-step explanation:
Step(i):-
Given a bag of marbles contains 5 red marbles, 5 green marbles, 5 yellow marbles and 5 blue marbles
Total balls n(S) = 5red +5green +5yellow + 5blue = 20
Total numbers cases
n(S) = 20C₁ = 20 ways
Step(ii):-
Let E₁ be the event of drawing one red marble from 5 red balls
n(E₁) = 5C₁
Let E₂ be the event of drawing one green marble from 5 green balls
n(E₂) = 5C₁
The two events are independent events
P(E₁ ∩ E₂ ) = P(E₁) P(E₂)
=[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]
Final answer:-
The probability that she takes out a red marble the first time and a green marble the second
P(E₁ ∩ E₂ ) = P(E₁) P(E₂)
=[tex]= \frac{5 X 5}{20} = \frac{25}{20} = \frac{5}{4} ways[/tex]
HELPPPP PLZ !..
Find the distance from C to G.
Answers
Answer:
3/64
Step-by-step explanation:
The distance from C to G is 32 units and this can be determined by using the properties of the circumcenter of a triangle.
Given :
AG = 4x + 16
BG = 10x - 8
The following steps can be used in order to determine the distance from C to G:
Step 1 - Remember in the given diagram G is the circumcenter because all the perpendicular bisector intersects at point G.
Step 2 - Now, if G is the circumcenter then:
AG = BG = CG
Step 3 - Now, substitute the value of AG and BG in the above expression.
4x + 16 = 10x - 8
24 = 6x
x = 4
Step 4 - Now, use the relation BG = CG in order to determine the value of CG.
10(4) - 8 = CG
CG = 32
For more information, refer to the link given below:
https://brainly.com/question/22051318
1 Evaluate the expression 2a + b - 3 when a=5 and b=2. Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.
Answers
Answer:
9
Step-by-step explanation:
From the question,
We are to evaluate the expression : 2a + b - 3 when a=5 and b=2.
We substitute 5 for a and 2 for b in the given expression
2a + b - 3
= 2(5) + 2 - 3
= 10 + 2 - 3
= 12 - 3
= 9
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 24 minutes of calls is $21.64, and the remaining credit after 35 minutes of calls is $20.10. What is the remaining credit after 45 minutes of calls?
Answers
Answer:
The remaining credit after 45 minutes of calls is $18.70
Step-by-step explanation:
Here, we have a linear model to work with
Let us have the coordinates as follows;
(time calling time, credit remaining)
So we have two points as follows;
(24,21.64) and (35,20.10)
The slope will be;
(20.1-21.64)/(35-24) = -1.54/11 = -0.14
So the equation looks like;
y = -0.14x + c
To get the y-intercept, we simply substitute a point
Let us use (35,20.10)
20.10 = -0.14(35) + c
c = 20.10 + 4.9
c = 25
So the full equation is;
y = -0.14x + 25
So for 45 minutes, simply substitute 45 for x
We have this as:
y = -0.14(45) + 25
y = -6.3 + 25 = $18.70
yayayayayayayayayyaya
Answers
Answer:
thank you for points
Step-by-step explanation:
CAN U PLZ HELP MEE DONT SCROLL DOWN ILL GIVE BRAINLLEST PLZ PLZZZZ
Answers
Answer:
75.4
Step-by-step explanation:
v = pi * r^2 * h
v = 3.14 * 4 * 6
v= 3.14 * 24
v= 75.36 m^3
to the nearest tenth is 75.4 m^3
10=95/2+4^2x
Please show step by step, I am having trouble with logarithms.
Answers
Answer:
x = [tex]-\frac{75}{32}[/tex]
Step-by-step explanation:
10 = [tex]\frac{95}{2}[/tex] + [tex]4^{2}[/tex] * x
10 = [tex]\frac{5 * 19 }{2}[/tex] + ([tex]2^{2}[/tex])²x
10 = [tex]\frac{5 * 19 }{2}[/tex] + [tex]2^{2*2}[/tex] * x
x = [tex]-\frac{75}{32}[/tex]
Maria's dinner bill is $21.89 after tax. If she wants to leave 15% tip, what will the total cost of the dinner be
Answers
Answer:
24.56
Step-by-step explanation:
Help!- How dilations are used in everyday life ? How about similarity transformations ?? How are they meaningful
Answers
Answer: Dilations can be used in architecture in order to make a sample of their final design. They must dilate the scale and measurements to match to their sample.
A you tube plugg in: please check : (
If you could please check out our you tube channel, Evimero Academy
Thank you so much and have a wonderful day
PLEASE HELP ME ILL GIVE BRAINLIEST I REALLY NEED HELP PLEASEE
Answers
Answer:
B) y<3/2x+2
Step-by-step explanation:
cause y is less than the slope of 3/2 threw the point of 2 on the y axis
also < and > meansd its a dotted line
slope=
1/3; y-intercept = -1
Answers
Answer:
y = 1/3x - 1
Step-by-step explanation:
We can put this information in slope intercept form [ y = mx + b ], where m = slope and b = y-intercept. We are given both the slope and y-intercept so m = 1/3 and b = -1. Put this into the formula; y = 1/3x - 1
Best of Luck!
HELP PLEASE! IT"S DUE IN 5 MINUTES!!!
Answers
Answer: where’s the question??
Step-by-step explanation:
Answer:
what do you need help with??
Step-by-step explanation:
Please answer and explain please asap
Answers
Answer:
Step-by-step explanation: This is going to be a long one. In order to find slope you need the formula which is m=y2-y1/x2-x1. Basically what this means is you have to look on each of those graphs and find the points. I’ll do number one as an example. The points are located at (2,1) and (0,-3). Plug these in into your formula as such. M= (-3 - 1) / (0 - 2) which equals 2. If you have questions let me know
Find the volume of the prism, using a calculator if necessary.
4 cm
9 cm
5 cm
5 cm
12 cm
Answers
Answer:
where is the drawing l don't understand the measurements
What is the measurement of <8
Answers
Answer:
175
Step-by-step explanation:
since 1 was 152 you have to add more to get number 8
PLEASE HELP! MATH!
Answers
t = 12r/(r+120)
t(r+120) = 120r
tr+120t = 120r
tr-120r = -120t
r(t-120) = -120t
r = -120t/(t-120)
r = 120t/(120-t)
If 2+3i is a zero of a polynomial function, then______is also a zero
Answers
What's $33.99 rounded to the nearest $1, $5 and $10
Answers
Answer:
Nearest $1: $34
Nearest $5: $35
Nearest $10: $30
Answer:
rounded to the nearest one is $40
Step-by-step explanation:
In a group of 250 music lovers, 135 of them like folk songs and 150 like modem
songs. By drawing a Venn-diagram, find;
(i) how many people like both the songs?
(ii) How many people like only one song?
Please help me i will mark brainlist
Answers
Answer:
i cant make a diagram but here i go.
Step-by-step explanation:
250-135=115
250-150=100
100+115=215
250-215=35
So your answer is that 45 people like both, 115like modern, 100 like folk song, and 35 like both.
what is the slope of the line
Answers
Answer: Undefined
Step-by-step explanation: It is Correct on Khan Academy
(11 BRAINLY POINTS!!) Which of the following numbers can be expressed as a decimal that terminates?
3 over 2 comma space 2 over 3 comma space 3 over 4 comma space 5 over 7
A.
3 over 2 and space 2 over 3
B.
3 over 4 and space 5 over 7
C.
3 over 2 and space 3 over 4
D.
2 over 3 and space 5 over 7
Answers
Answer:
I believe that it is b
Step-by-step explanation:
But correct me if i am wrong! Have a nice day!
Answer:
B. ) 3 over 4 and space 5 over 7
Step-by-step explanation: