SOLUTION: Determine the sum of the geometric sequence: 1 + 5 + 25 + ... + 3125.

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Question 1118014: Determine the sum of the geometric sequence: 1 + 5 + 25 + ... + 3125.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.
Geometric progression with the first term of 1 and the common ratio of 5.


The number of terms is 6:    =  = 3125.


Use the formula for the sum of the first n terms of a Geom. progression with the first term a and the common ratio of r:


 = .


Substitute the given values and calculate:


 =  = 3906.

Solved.

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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".

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

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