SOLUTION: Prove by mathematical induction that the statement below holds true for every integer n belongs to N. 1/2 - 1/4 - 1/8 ... - 1/2n =1/2^n

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Question 1044046: Prove by mathematical induction that
the statement below holds true for every
integer n belongs to N.
1/2 - 1/4 - 1/8 ... - 1/2n =1/2^n
Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  The formula is written incorrectly.
    Fix and edit it.


2.  As I just said it to you in my previous post,  
         ( https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.1044033.html )
    learn about the method of mathematical induction from the lessons

    - Mathematical induction and arithmetic progressions

    - Mathematical induction and geometric progressions 

    - Mathematical induction for sequences other than arithmetic or geometric 

in this site.


Then try to solve this problem on your own.
It is the simplest problem on this method.