Question

Which term will be the middle term of (xyz – x)^2n?

(a) (n + 1)^th term

(b) (n + 2)^th term

(c) n^th term

(d) (n – 1)^th term

I had been asked this question during an online exam.

My question is from Binomial Theorem topic in chapter Binomial Theorem of Mathematics – Class 11

Answer 1

The correct option is (a) (n + 1)^th term

The best explanation: Clearly 2n is an even number and the binomial has 2n + 1 terms.

The middle term for a binomial with even power, is the term equal to (n/2 + 1) where n is number of terms.

In this case,  (2n/2 + 1) = n + 1.