
Let a and b be any two given quantities, and let A1,A2,A3,-----An be n arithmetic means to be inserted between a and b so that a, A1,A2,A3,-----An, b will be in A.P.
Let d be the common difference.Now the total number of terms including a and b is (n+2)


Hence the n arithmetic means are:
These can be inserted between a and b.
b. To find the sum of n arithmetic means between the two given quantities:Let the two quantities (numbers) be a and b.
The required sum = A1 + A2 + A3 + ---- + An


