Insertion of Arithmetic Mean

Let A₁, A₂, …, A_n, n arithmetic means are inserted between two numbers ‘a’ and ‘b’ such that a, A₁, A₂, …, A_n, b from an AP.

Here, total number of terms are (n + 2) and common difference be d

b = (n + 2)^th term = a + (n + 2 – 1) d

d = (b – a)/ (n + 1)