Question

If sum of 5 numbers in AP is 40 then find the middle term

Answer 1

8

Explanation:

Let the AP numbers be: ( a - 3d ), ( a - d ), a, ( a + d ), ( a + 3d )

We are given that sum of all these numbers is 40.

⇒ a - 3d + a - d + a + a + d + a + 3d = 40

⇒ 5a + 4d - 4d = 40

⇒ 5a = 40

⇒ a = 40 / 5 = 8

We know that the middle term of the five numbers given is 'a'.

As a result, the given AP's middle term is 8.

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