If 55 2 3 æ ö x ç ÷ + è ø is expanded in the ascending powers of x and the coefficients of powers of x in two consecutive terms of the expansion are equal, then these terms are:

Question:

If $\left(2+\frac{x}{3}\right)^{55}$ is expanded in the ascending powers of $x$ and the coefficients of powers of $x$ in two consecutive terms of the expansion are equal, then these terms are:

  1. $7^{\text {th }}$ and $8^{\text {th }}$

  2. $8^{\text {th }}$ and $9^{\text {th }}$

  3. $28^{\text {th }}$ and $29^{\text {th }}$

  4. $27^{\text {th }}$ and $28^{\text {th }}$


Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Binomial Theorem and its Simple Applications chapter.
JEE Main Previous Year Online April 12, 2014

Solution:

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