Between 1 and 31 are inserted m arithmetic means so that the raio of the 7th and (m-1) th means is 5:9 . Find the value of m.

Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A.P. and the ratio of 7^(th) and (m-1)^(th) numbers in 5:9. Find the value of m.

If n arithmetic means are inserted between 2 and 38 then the sum of the resulting series is obtained as 200 . Then find the value of n.

If the sum of n terms of an A.P is 3n^2+5n and its m^(th) term is 164. Find the value of m.

Let a be a positive number such that the arithmetic mean of a and 2 exceeds their geometric mean by 1. Then, the value of a is

If the third in the expansion of (1+x)^(m)" is "-(1)/(8) x^(2) . Then find the value of m.

The line y=m x+1 is a tangent to the curve y^2=4x Find the value of m .

The perpendicular from the origin to the line y=m x+c meets it at the point (-1 , 2) . Find the values of m and c .

What is the coefficient of 5th, 6th and 7th terms in the expansion of (1+x)^n ?