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Question

Find the middle term(s) in the expansion of (a+b)21


A

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C

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Solution

The correct options are
A


B


In the expansion of (a+b)n,if n is odd, there are two are two middle terms, which are (n+12)th and (n+12+1)th terms.

In this case, n = 21. The middle terms are (21+12)th and (21+12+1)th terms or

11thand12th term

T11=T10+1=21C10a2110b10

= 21C10a11b10

T12=T11+1=21C11a2111b11

= 21C11a10b11


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