If the coefficients of 2nd, 3rd and 4th terms in the expansion of`(1+x)^n` are in A.P., then find the value of n.

Let the coefficients of 2nd, 3rd and 4th terms in the expansion of `(1+x)^n is .^C_1, .^nC_2, .^nC-3`.
According to given condition,
`2(.^nC_2)=.^nC_1+.^Nc_3`

If the coefficients of 2nd, 3rd and 4th terms in the expansion of`(1+x)^n` are in A.P., then find the value of n.

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