# In the binomial e

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

nCr

Now, finding the 4th term, we get

T4nC3

Thus, the coefficient of a 4th term is nC3

Now, finding the 13th term, we get

T13nC12

Thus, coefficient of 4th term is nC12

As the coefficients are equal, we get

nC12= nC3

Also, nCr= nCn-r

nCn-12=nC3

n-12=3

n=15

Thus, value of n is 15

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