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.

n arlithmetic means are inserted between xa n d2y and then between 2xa n dydot If the rth means in each case be equal, then find the ratio x//ydot

If are the n Arithmetic means between a and b , then 2sum_(I - 1)^(n)a_(i) =

If the sum of first "n" even natural numbers is 420, find the value of n.

Insert 6 Arithmetic Means between 3 and 24.

Sum of 1 to n natural numbers is 36, then find the value of n.

If nine arithmetic means and nine harmonic means are inserted between 2 and 3 alternatively, then prove that A+6//H=5 (where A is any of the A.M.'s and H the corresponding H.M.) dot

Find the sum of the series sum_(r=1)^n rxxr !dot

Insert five arithmetic means between 8 and 26. or Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

The sum of the squares of the first n natural numbers is 285, while the sum of their cubes is 2025. Find the values of n.