Guest

prove that [1-2n +2n(n-1)/2!] - [2n(2n-1)(2n-2)/3!]...+[(-1) n-1 2n(2n-1)...(n+2)/(n-1)!] = (-1) n+1 (2n)!/1(n!) 2

prove that [1-2n +2n(n-1)/2!]  - [2n(2n-1)(2n-2)/3!]...+[(-1)n-12n(2n-1)...(n+2)/(n-1)!] = (-1)n+1(2n)!/1(n!)2

Grade:11

1 Answers

Aman Bansal
592 Points
12 years ago

dear student,

applying binomial theorwm in the given question,

1) put n= 1

2) put n=k

3) put n= k+1

Don’t forget to approve the answer if it is beneficial to you… !!

We are all IITians and here to help you in your IIT JEE preparation.

Now you can win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar : Click here to download the toolbar.. 

AMAN BANSAL               

Think You Can Provide A Better Answer ?