SOLUTION: Prove by mathematical induction that
the statements below holds true for every
integer n belongs to N.
1. 1/2 - 1/4 - 1/8 ... - 1/2n =1/2^n
2. 1/1.2 + 1/3.4 + 1/4.5 + ... +
Algebra.Com
Question 1044033: Prove by mathematical induction that
the statements below holds true for every
integer n belongs to N.
1. 1/2 - 1/4 - 1/8 ... - 1/2n =1/2^n
2. 1/1.2 + 1/3.4 + 1/4.5 + ... + 1/n(n + 1) = n/n + 1
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
For #2 see the lesson
- Mathematical induction for sequences other than arithmetic or geometric, Problem 4
in this site.
To learn the method of mathematical induction, read the lessons
- Mathematical induction and arithmetic progressions
- Mathematical induction and geometric progressions
in this site.
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