Binomial Theorem Questions

Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is

If the coefficients of x7 & x8 in the expansion of are equal, then the value of n is -...

In the binomial expansion of (a - b)n, n ≥ 5, the sum of 5th and 6th terms is zero, then equals...

If the coefficients of rth, (r + 1)th and (r + 2)th terms in the binomial expansion of (1 + y)m are in A.P., then m and r satisfy the equation

Fourth term in the expansion of is-

Second term in the expansion of (2x + 3y)5 will be -

The 5th term of the expansion of (x − 2)8 is -

If the third term in the binomial expansion of (1 + x)m is −x2 , then the rational value of m is-...

The term with coefficient 6C2 in the expansion of (1 + x)6 is-

If n is a positive integer, then rth term in the expansion of (1 − x)n is-

If the 4th term in the expansion of is , then the values of a and n are-...

The coefficient of (3r)th term and coefficient of (r + 2)th term in the expansion of (1+ x)2n are equal then (where r > 1 , n > 2, positive integer)-...

The coefficient of a2 b3 in (a + b)5 is -

The coefficients of x7 and x8 in the expansion of are equal, then n is equal to-

The coefficient of x5 in the expansion of (2 + 3x)12 is -

If in the expansion of ,the coefficient of third term is 31, then the value of n is-

If A and B are coefficients of xr and xn-r respectively in the expansion of (1 + x)n, then-

If (1 + by)n = (1 + 8y + 24 y2 + ....) then the value of b and n are respectively-

The number of terms in the expansion of (1 + 5√2x)9 + (1 − 5√2x)9 is -

The number of non zero terms in the expansion of [(1 + 3√2x )9 − (1 − 3√2x)9] is -