2. 5, 7,9, .. , 27

Q: Find the sum of the infinite geometric series. 3 3 49 343

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Q: Determine the number of terms n in each geometric series.

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Q: Find the 80th term of the following arithmetic sequence. 6,15,24,33,

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Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …

A: A detailed solution is given below.

Q: 1 29. 5+1+-+..

A:

Q: Find the first five terms of the explicit arithmetic sequence. an = 4n 2 %3D O 2, 3, 4, 5, 6 O 6,…

A: we have to find the first five terms of the explicit arithmetic sequence an=4n-2 .

Q: Find the sum of the arithmetic series: 12 + 8 + 4 + ... + (-20).

A: Let's find.

Q: n= 10, a,= 41, S,= 230

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Q: Find the sum of the series. 97 8 n!

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Q: Find the first four terms of the sequence given by the following. 4n an n = 1, 2, 3, ... 3n+2 0.000…

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Q: Write the series in summation notation for each sequence. а. 5, 10, 15, 20, 25 b. 2, 7, 12, 17, 22…

A: For the solution of the problem follow the next steps.

Q: Find the 57th term of the following arithmetic sequence 13,18,23,28

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Q: 2 Find the sum of the first 20 terms of the arithmetic series 6 + 3 +0 – 3 – 6 – ..

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Q: Find a formula for the nth term of the sequence. 3,9, 27, ... = X

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Q: find the sum of the first 16 terms of the geometric sequence 1/9, 1/3/ 1.....

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Q: Write each series as a summation in sigma notation. 4 12+4+–+ 9. 4 + 27 Σ 4+ 3. OW

A: The given series is: 12+4+43+49+427

Q: Determine the sum of this infinite geometric series So, = 5 – 2.5 + 1.25 – 0.625 + ... 10.

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Q: Find the sum, if it exist, of the infinite geometric series related to the infinite geometric…

A: we have to find the sum of the given geometric series

Q: 14. 1+5+9+...+ 157

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Q: Find the sum of the series. 10" Σ 9 n!

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Q: Evaluate each arithmetic series described a113, an=97, n=13

A: This is a arithmetic series  question. First we find out the common difference then we make the…

Q: Find the sum of the following arithmetic series and write in summation notation.

A: Given series is -17,-12,-7,....,33

Q: Determine the sum of the arithmetic series. t1=9, d=4, n=17.

A: Given data is : t1=9d=4n=17 To determine the sum of the arithmetic series.

Q: Determine the sum of the following series. 31 10 Σ(1)

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Q: Find the sum of the infinite geometric series.

A:

Q: Consider the sequence {5,7.5,11.25,...}. What is the sum of the first 10 terms of the series? Round…

A: Sum of Geometric sequence The formula of the first n terms of a geometric sequence is Sn=a1(1-rn)1-r…

Q: Find the sum of the infinite geometric series if it exists.256 + 192 + 144 + 108 + .....

A: Known fact: ∑n=0∞ arn=a1-r   if r<1.

Q: find a formula for the nth term of the sequence. 1, 5, 9, 13, 17,...

A: 1, 5, 9, 13, 17,........ Clearly it is an arithmetic sequence with

Q: 10 8) E(-2m – 7) –2m – 7) m = 1

A: The symbol ∑ represents summation of terms as value of m varies from 1 to 10. Substitute the value…

Q: Find the 8th term of the following sequence 6, 12, 24, . . . .

A: series = 6,12,24...   we see that the each value in the series is getting multiplied = 2*previous…

Q: Find the sum of the series 3(22+1)

A: Given series is -

Q: Find the sum of the arithmetic series. 3+5+7+9+...+19

A: Explanation of the answer is as follows

Q: Give the 10th term of the following sequence: 1, 4, 7, 10

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Q: Find the first 5 terms of the sequence defined byan = (-1) n (2n).

A: The given sequence is an = (-1)n (2n)

Q: Find the sum of the given arithmetic series if a1 = 16, d = –9, n = 18

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Q: 66. 一4

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Q: B. Write a formula for the general term of each infinite sequence. 1. 3, 5, 7, 9, ... 2. 1, 4, 9,…

A: As per the company guidelines we are suppose to answer first question of two subparts.Kindly repost…

Q: find a formula for the nth term of the sequence. 5/1,8/2,11/6,14/24,17/120, ...

A: The denominator is in the form n!

Q: Find a formula for the n th term of the sequence an whose first five terms are 0, 2, 6, 12, 20?

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Q: Evaluate each geometric series described. 10) 2'- i = 1

A: We have to evaluate the geometric series.  Standard form of the geometric series is given as,…

Q: Find the sum of the first 20 terms of the arithmetic series if a, = 5 and a,0 = 62 '20

A: The first term of the arithmetic series is a1=5 and 20th term of the series is a20=62. Evaluate d…

Q: Find the nth term of a sequence whose first several terms are given. 2, 5/4, 8/9, 11/16, 14/25

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Q: Determine whether each sequence having the given nth term is monotonic. a. a, = 3+ (-1)"

A: If {an} is an increasing sequence or {an} is a decreasing sequence we call it monotonic If a…

Q: Determine the sum of the following infinite geometric series: 7 56 + 7++ M+... 64 56 40 O 80 64

A: Hear the given series is infinite geometric series

Q: 1. Find the value of the 11th term in the sequence 2, 6, 18, 54, ...

A: Topic = Sequence

Q: Find the first term of each infinite geometric series. 81 21. S =- 320 -2 20. S =92, r = 2

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Q: Find S, for each arithmetic series. 7. a, = 12, a, = 117,n=36 8. 4+ %3D %3D

A: Since you have asked multiple question, we will solve the one question for you. If you want any…

Q: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

A:

Q: Find the sum of the first 109 terms of the arithmetic sequence: 3, 7, 11, 15, 19, ..

A: Given : 3, 7, 11, 15, 19…