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The coefficient of 5th,6th,7th term are …

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The coefficient of 5th,6th,7th term are in the a.p in the expansion of (1+x)power n.

Posted by Ishita Tomar 7 years, 5 months ago

CBSE > Class 11 > Mathematics

1 answers

Naveen Sharma 7 years, 4 months ago

In the expension of (1+X)ⁿ, T_(r+1)= ⁿC_rX^r

Cofficient of (r+1)th term = ⁿC_r

_{So Cofficient of 5th, 6th and 7th term ll be}ⁿC₄ⁿC₅ⁿC_{6 respectivily}

As it is given these terms are in AP

So, 2 * ( ⁿC₅) = ⁿC₄+ ⁿC₆

(2 * n! ) / { (n-5)! 5!} = (n! ) / { (n-4)! 4!} + (n! ) / { (n-6)! 6!}

i think you can proceed from here .

1Thank You

ANSWER

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CBSE > Class 11 > Mathematics