Prove that there is no term involving x 6 in the expansion …

Maths Binomial Theorem & Mathematical Induction Mix Subjective Type

Published on: August 12, 2026

Prove that there is no term involving x 6 in the expansion of

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Sol. Let x 6 occurs in (r + 1) th term , T r + 1 = 11 C r (2x 2 ) 11–r .

= 11 C r . 2 11–r . x 22–2r –r . (–3) r = 11 c r . 2 11–r . x 22–3r .(–3) r For this term to contain x

6 ,22 – 3r = 6, r = 16/3 N

So. x 6 never accur in the expansion

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