Solved: Geometric sums Evaluate the following geometric

Chapter 11, Problem 17E

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QUESTION:

7-18. Geometric sums Evaluate the following geometric sums.

\(\frac{1}{4}+\frac{1}{12}+\frac{1}{36}+\frac{1}{108}+\cdots+\frac{1}{2916}\)

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QUESTION:

7-18. Geometric sums Evaluate the following geometric sums.

\(\frac{1}{4}+\frac{1}{12}+\frac{1}{36}+\frac{1}{108}+\cdots+\frac{1}{2916}\)

ANSWER:

Problem 17EGeometric sums Evaluate the following geometric sums. Answer; Step-1; A sequence ( finite or infinite ) of non zero numbers is called a geometric progression ( abbreviated G.P) iff the ratio of any terms to its preceding term is constant . This non zero constant is usually denoted by ‘r’ and is called common ratio. General term of G.P is = a Thus , if ‘a’ is the firs

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