Difference between revisions of "1989 AHSME Problems/Problem 29"
(New page: ==Problem== What is the value of the sum <math>S=\sum_{k=0}^{49}(-1)^k\binom{99}{2k}=\binom{99}{0}-\binom{99}{2}+\binom{99}{4}-\cdots -\binom{99}{98}</math>? ==Solution== {{solution}} ==...) |
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==Problem== | ==Problem== | ||
| − | What is the value of the sum <math>S=\sum_{k=0}^{49}(-1)^k\binom{99}{2k}=\binom{99}{0}-\binom{99}{2}+\binom{99}{4}-\cdots -\binom{99}{98}</math> | + | What is the value of the sum <math>S=\sum_{k=0}^{49}(-1)^k\binom{99}{2k}=\binom{99}{0}-\binom{99}{2}+\binom{99}{4}-\cdots -\binom{99}{98}?</math> |
==Solution== | ==Solution== | ||
Revision as of 15:47, 31 August 2008
Problem
What is the value of the sum 
Solution
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