Grade 11Algebra
... prove that coc2 + c1c3+......cn-2cn = (2n)!/[(n-2)!(n+2)!]
... prove that coc2 + c1c3+......cn-2cn = (2n)!/[(n-2)!(n+2)!]
1 Answer
Ritesh Khatri
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
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago