Guest

... prove that coc2 + c1c3+......cn-2cn = (2n)!/[(n-2)!(n+2)!]

... prove that coc2 + c1c3+......cn-2cn = (2n)!/[(n-2)!(n+2)!]

Grade:11

1 Answers

Ritesh Khatri
76 Points
6 years ago
coc2 + c1c3+......cn-2cn
can be written as
cocn-2 + c1cn-3+......cn-2c0
which is coeff of xn-2 in (1+x)n(1+x)n
that is coeff of xn-2 in (1+x)2n
= 2nCn-2

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free