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If x is positive, the first negative ter...

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

A

`5^(th)` term

B

`8^(th)` term

C

`6^(th)` term

D

`7^(th)` term

Text Solution

Verified by Experts

The correct Answer is:
B
`T_(r+1)` in `(1+x)^(n)` is
`(n(n-1)(n-2)"……"(n-r+1))/(r!) x^(r)`
For first negative term,
`n -r + 1 lt 0`
or `27/5 - r +1 lt 0` or `r gt 32/5`
Thus, first negative term occurs when `r = 7`,
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