Question

if a,b,c are in AP , arithmetic mean of AP is?
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Answer 1

Given that, a, b, c is in A.P. Then

As they are in A.P. so their common difference will be constant.

b - a = d and c - b = d

∴ b - a = c - b

2b = a + c

∴ b = a+c/2

Thus the required arithmetic mean (A.M) of two numbers 'a' and 'b' is a+b/2

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Answer 2

If a, b, c are in A.P, then.

So, b is called the arithmetic mean of a and c.