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Question: If the coefficient of 4<sup>th</sup> term in the expansion of \(1 - (1 + y)^{- 1/3}\) is 56, then n ...

If the coefficient of 4th term in the expansion of 1(1+y)1/31 - (1 + y)^{- 1/3} is 56, then n is.

A

12

B

10

C

8

D

6

Answer

8

Explanation

Solution

T4=T3+1T _ { 4 } = T _ { 3 + 1 } (x4+1x3)15\left( x^{4} + \frac{1}{x^{3}} \right)^{15}

r=r =(r+1)th(r + 1)^{th}

(ab3+ba3)21\left( \sqrt[3]{\frac{a}{\sqrt{b}}} + \sqrt{\frac{b}{\sqrt[3]{a}}} \right)^{21}(1+x)m(1 + x)^{m}

18x2- \frac{1}{8}x^{2}.