SOLUTION: Can anyone help with this?
Prove using mathematical induction that, for all n ∈ N,
1 − 2 + 3 − 4 + · · · + (−1)n+1n =
(n + 1)/2, when n is odd,

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Question 1046927: Can anyone help with this?
Prove using mathematical induction that, for all n ∈ N,
1 − 2 + 3 − 4 + · · · + (−1)n+1n =
(n + 1)/2, when n is odd,
−n/2, when n is even.
Thanks very much
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
If you don't know what the method of math induction is or are unsure in it, read the lessons
- Mathematical induction and arithmetic progressions
- Mathematical induction and geometric progressions
- Mathematical induction for sequences other than arithmetic or geometric
in this site.
When you will learn the method, you will be able to prove it on your own.
Also, write your sequence correctly.
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