Q. 155.0( 2 Votes )

In the binomial e

Answer :

To find: the value of n with respect to the binomial expansion of (a + b)n where the coefficients of the 4th and 13th terms are equal to each other

Formula Used:

A general term, Tr+1 of binomial expansionis given by,

Tr+1 nCr xn-r yr where


Now, finding the 4th term, we get


Thus, the coefficient of a 4th term is nC3

Now, finding the 13th term, we get


Thus, coefficient of 4th term is nC12

As the coefficients are equal, we get

nC12= nC3

Also, nCr= nCn-r




Thus, value of n is 15

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

Show that the coeRS Aggarwal - Mathematics

Show that the midRS Aggarwal - Mathematics

Show that the coeRS Aggarwal - Mathematics

Show that the terRS Aggarwal - Mathematics

Find the middle tRS Aggarwal - Mathematics

If the 17th<RS Aggarwal - Mathematics

If the coefficienRS Aggarwal - Mathematics

Prove that the coRS Aggarwal - Mathematics