Question

In the expansion of a binomial (a + b)" the third term is equal to the fourth term is and the binomial coefficients of the third and the sixth term are equal. Find the values of a, b, and n.​

Answer 1

Answer:

✿Yøur$\Huge{\color{magenta}{\fbox{\textsf{\textbf{Answer:-}}}}}$

m=1/2

Given (1+x)m

third term is 8−1x2

For (1+x)n the expansion is:

(1+x)n=1+nx+2!n(n−1)x2+....

So, the third term in (1+x)m is 2!m(m−1)x2

Solving:

=2m(m−1)x2=8−1x2

=2m(m−1)=8−1

=(m−1)=4−1

=m2−m+41=0

=4m2−4m+1=0

=(2m−1)2=0

∴ m=2