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A : If the coefficients of 5th, 6th , 7t...

A : If the coefficients of 5th, 6th , 7th terms of `(1+x)^n` are in A.P. then `n=7 or 14.`
R : If the coefficients of rth, `(r+1)th, (r+2)th` terms of `(1+x)^n` are in A.P. then `n^2-(4r+1) n+4r^2 = 2.`

A

Both A and R are true and R is the correct explanation of A

B

Both A and R true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If the coefficients of 2nd, 3rd, 4th terms of (1+x)^n are in A.P. then n=

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  • Assertion (A): In the expansion of (1+x)^n , three consecutive terms are 5, 10,10 then n = 5 Reason (R ): If the coefficient of r^(th), (r + 1)^(th), (r + 2)^(th) terms of (1 +x)^n are in A.P. then (n-2r)^2 = n +2

    A
    A and R are true , R is correct explanation of A
    B
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    C
    A is true , R is false
    D
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