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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.

Text Solution

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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`
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Knowledge Check

  • Let n be positive integer. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1 + x)^(n) are in A.P., then the value of n is

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