2016 UNCO Math Contest II Problems/Problem 7
Contents
[hide]Problem
Evaluate
Solution
Solution 2
Rewrite the term:
(∑n=2∞4n(n2−1)2)=(∑n=2∞(−1(n+1)2+1(n−1)2)) This is a telescoping series:
∑n=2∞(−1(n+1)2+1(n−1)2)=(1−19)+(14−116)+(19−125)+(116−136)+(125−149)+...=54
See also
2016 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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All UNCO Math Contest Problems and Solutions |