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If the coefficients of 2nd, 3rd and 4th ...

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.

A

2

B

7

C

11

D

14

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( n \) such that the coefficients of the 2nd, 3rd, and 4th terms in the expansion of \( (1+x)^n \) are in Arithmetic Progression (A.P.). ### Step-by-Step Solution: 1. **Identify the Terms**: The \( r \)-th term in the expansion of \( (1+x)^n \) is given by: \[ T_r = \binom{n}{r-1} x^{r-1} ...
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