Home Maths Binomial Theorem & Mathematical Induction Multinomial Theorem, Terms Free From Radical Sign in the Expansion of (A1/P + B1/Q), Problems Regarding to Three / Four Consecutive Terms or Coefficients If n is positive integer and three consecuti…
Maths Binomial Theorem & Mathematical Induction Multinomial Theorem, Terms Free From Radical Sign in the Expansion of (A1/P + B1/Q), Problems Regarding to Three / Four Consecutive Terms or Coefficients Single Correct MCQ
Published on: August 13, 2026

If n is positive integer and three consecutive coefficients in the expansion of are in the ratio 6 : 33 : 110, then n =

A
4
B
6
C
12
D
16

Share this question

WhatsApp

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
C

Let the consecutive coefficient of (1+ x ) n are

By condition,

Now

…..(i)

and

…..(ii)

Solving (i) and (ii), we get n =12 and r =2.

Previous Question Next Question

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

The smallest positive integer n , for which hold is
The number of rational term in the expansion of (1 + + ) 6 is -
Last three digit of the number 17 256 is -
If in the expansion of and in the expansion of are equal, then
The sum of rational terms in is
The value of is
CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.