Question

What is the middle term of (4 + 2x)^6?

(a) 11240 x^2

(b) 10240 x^3

(c) 12240 x^4

(d) 10340 x^4

This question was addressed to me by my school principal while I was bunking the class.

This key question is from Binomial Theorem in chapter Binomial Theorem of Mathematics – Class 11

Answer 1

Right option is (b) 10240 x^3

To explain: The middle term will be the 4^th term

4^th term = ^6C3 (4)^6 – 3(2x)^3

= 20 (64) (8x^3)

= 10240 x^3