Binomials and reciprocals

Probability Level 5

S = ∑ r = 1 r = 2 n − 1 ( − 1 ) r − 1 r ( 2 n r ) S = \sum_{r=1}^{r=2n-1}{(-1)^{r-1}r\over {2n \choose r}}
If n = 24 n=24 , find the value of 100 × S 100\times S .


The answer is 96.

Shaurya Gupta by shaurya gupta , 22, India

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1 solution

Nick Lee
Jul 6, 2018

I created a separate pdf solution file and made it available to anyone.

Please let me know if there's anything to add or fix.

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Is there any way we can solve it without integrating?

Hitesh Yadav - 5 months, 1 week ago

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