If 11 arithmetic means are inserted between 20 and 10, the number of integral arithmetic means are

If n arithmetic means are inserted between 20 and 80. Such that the ratio of first mean to the last mean is 1: 3 , then find the value of n.

n arithmetic means are inserted between 3 and 17 such that ratio of first and the last means is 1: 3, find n.

Insert five arithmetic means between 20 and 32 .

Insert five arithmetic means between 20 and 32 .

Insert 3 arithmetic means between 2 and 10.

The sum of two numbers is 13/6 . An even number of arithmetic means are inserted between them and their sum exceeds their number by 1. Find the number of means inserted.

Suppose that n arithmetic means are inserted between then numbers 7 and 49. If the sum of these means is 364 then the sum their squares is

Suppose that n arithmetic means are inserted between then numbers 7 and 49. If the sum of these means is 364 then the sum their squares is