1.

If for positive integers r gt 1, n gt 2, the coefficients of the (3r)th and (r+2)th powers of x in the expansion of (1+x)^(2n) are equal, then prove that n=2r+1.

Answer»


Answer :`r=(N)/(2)`, provided `n` is an EVEN integer `( gt2)`, OTHERWISE `r` has no value.


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