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Question

The middle term in the expansion of x-1x18 is


A

C918

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B

-C918

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C

C1018

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D

-C1018

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Solution

The correct option is B

-C918


Explanation for the correct option:

Compute the middle term of the given expansion.

An expansion x-1x18 is given.

The number of terms in the expansion is 18+1=19.

The middle term of the expansion is given by 19+12=10. That is T10 is the middle term of the given expansion.

Compute the value of T10 as follows:

T10=C918·(x)9-1x18-9⇒T10=-C918·(x)91x9⇒T10=-C918

Therefore, the middle term of the given expansion is -C918.

Hence, option B is the correct answer.


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