Q8 of 36 Page 171

Find the middle terms in the expansions of

Here n is even so the middle term will be given by

The general term T_r+1 in the binomial expansion is given by T_r+1 = ⁿC_r a^n-r b^r

Putting the values

= 61236 x⁵y⁵

Find the 13^th term in the expansion of

Find the middle terms in the expansions of

In the expansion of (1 + a)^m+n, prove that coefficients of a^m and aⁿ are equal.

The coefficients of the (r – 1)^th, r^th and (r + 1)^th terms in the expansion of (x + 1)ⁿ are in the ratio 1 : 3 : 5. Find n and r.

Questions · 36

8. Binomial Theorem

1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10