... prove that coc2 + c1c3+......cn-2cn = (2n)!/[(n-2)!(n+2)!]
... prove that coc2 + c1c3+......cn-2cn = (2n)!/[(n-2)!(n+2)!]
anshu khandelwal , 8 Years ago
Grade 11
Algebra> ... prove that coc2 + c1c3+......cn-2cn =...
1 Answers
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
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