SOLUTION: if n ≥ 1. Prove by induction: a^(n) - 1 = (a-1)*(a^(n-1)+a^(n-2)+...+a+1)

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Question 1155911: if n ≥ 1. Prove by induction:
a^(n) - 1 = (a-1)*(a^(n-1)+a^(n-2)+...+a+1)
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

It was done in the lesson
    - Mathematical induction and 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 lesson is the part of this online textbook under the topic
"Method of Mathematical induction".


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.