SOLUTION: For the geometric series 1 - 2/3 + 4/9 - 8/27 ... , find S 8

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Question 1185788: For the geometric series 1 - 2/3 + 4/9 - 8/27 ... , find S 8
Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.

Use the standard formula for the sum of n first terms of a geometric progression


     = ,


where "a" is the first term, r is the common ratio.


In your case,  n = 8, a = 1, r = .


So,   =  =  =  = 

                =  =  =  =  = 0.5766  (rounded).   ANSWER

Solved.

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On geometric progressions,  see introductory lessons
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
in this site.

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    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
"Geometric progressions".

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Free of charge online textbook in ALGEBRA-II
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