3. Find the sum of each of the following geometric series, or explain why it diverges. (a) −7+ /1 7 7 25 + 125 625 (b) 11/13 + 1 + + 64 81 + 256 243

Q: of the following find the series : Sum

A: ∑n=1∞(14n + 1n2-1) putting n = 114 + 10⇒ 10 is not defined.

Q: 5 k-1 Identify the common ratio in the geometric series % -1 4 (3) 3 12 4 64

A:

Q: 35. Find the sum of the following geometric series. A. Does not exist B. -12, 258 Σ -3(2)'-¹ C.…

A:

Q: Find the sums of the following (geometric series): 3-1 1 - 6H-1 n=1

A: The given geometric series is: ∑n=1∞3n-1-16n-1 Note that, the geometric series ∑n=0∞a rn where a is…

Q: What is the sum of the infinite geometric series? 8 −5+2 - + 25 0-2500 7 0-4 26 7 0-5 16 125

A:

Q: (a) Find the common difference of the arithmetic series: 10 + 14 + 18+... +3602+3606 d = (b)…

A: In an arithmetic series given ==as a1+a2+a3+.......+an+.... Common difference d is given as: d =…

Q: b. Find the sum of the geometric series 12 n=0 8 If we were to sum the above series to infinity,…

A:

Q: 4. use Geometric Series to find the fraction notation for: 0.55555...

A: Geometric Series is the series in which their is common ratio between all the elements of the…

Q: a. Write this series in “expanded form.” b. What are the terms a1000 and a1001? Calculate the…

A: The series is given as ,

Q: Find the sum of the following infinite geometric series, or state that it is not possible. 31 k 8

A: Given: The series is ∑k=1∞8-34k To find the sum of the given infinite geometric series. The…

Q: find the sum of each series given the following information: first 15 terms in series created by…

A:

Q: 1. Write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the number as…

A: The objective of the question is to express the given repeating decimal number 15.0225825825825...…

Q: 1. Write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the number as…

A: We need to write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the…

Q: What happens if you apply the formula for the sum of a geometric series to the following series? Is…

A: Given, 1 + 3 + 32 + 33 + 34 + · · · Since, 3/1 ≠ 32/3 ≠ 33/32 · · · This implies, the given series…

Q: Find the sum of the infinite geometric series 2 + 2√2+2√2√2+2√2√2√2+..., where each term is obtained…

A:

Q: (c) Express the number 1.234567 as a fraction (in its simplest form) using the sum of a geometric…

A: Ans=45679/37000 For detail...go through the solution.....I have solved step by step in detail