SOLUTION: A gp has 8 terms.its first and last term are 0.3 and 38.4 and its common ratio is 2 find the sum of the terms of the gp

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Question 1128005: A gp has 8 terms.its first and last term are 0.3 and 38.4 and its common ratio is 2 find the sum of the terms of the gp
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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Use the standard formula for the sum of the first 8 terms of a GP.


You are given the first term and the common ratio - it is enough info to use this formula.


The given info about the value of the 8-th term is NOT NECESSARY and is EXCESSIVE - you can omit it and forget about it - 
it is not used in the solution.


The sum is


    S = 0.3%2A%28%282%5E8-1%29%2F%282-1%29%29 = 0.3%2A%282%5E8-1%29.


Use your calculator.

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

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

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

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.