Difference between revisions of "2016 UNCO Math Contest II Problems/Problem 7"
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==Solution 2== | ==Solution 2== | ||
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This is a telescoping series: | This is a telescoping series: | ||
− | + | (1−1/9)+(1/4−1/16)+(1/9−1/25)+(1/16−1/36)+(1/25−1/49)+...=5/4 | |
== See also == | == See also == |
Latest revision as of 20:18, 4 March 2021
Contents
Problem
Evaluate
Solution
Solution 2
This is a telescoping series:
(1−1/9)+(1/4−1/16)+(1/9−1/25)+(1/16−1/36)+(1/25−1/49)+...=5/4
See also
2016 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |