If x is positive, the first negative term in the expansion of (1+x)27/5 is (|x|<1)

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5th term

8th term

6th term

7th term

answer is B.

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Detailed Solution

Tr+1 in (1+x)n isn(n−1)(n−2)⋯(n−r+1)r!xrFor first negative term,n−r+1<0or 275−r+1<0 or r>325Thus, first negative term occurs when r = 7.

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