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Question

C01+C23+C45+C67.....=

A
2nn+1
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B
2n+11n+1
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C
2n+1n+1
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D
None of these
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Solution

The correct option is A 2nn+1
Co1+C23+C45+C67.....1+n×(n1)3!+n×(n1)(n2)(n3)5+......1n+1[(n+1)(n+1)×n×(n1)3!+n(n+1)(n1)(n2)5!]1n+1[2n+11]2nn+1
Hence the option A is the correct answer.

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