Question

Three numbers in A.P. have the sum of 30. What is its middle term?

Options

• 4

• 10

• 16

• 8

Answer 1

10

Explanation:

Let the three numbers be a − d, a, and a + d, where a is the middle term, and d is the common difference.

Given that their sum is 30, we have:

(a − d) + a + (a + d) = 30

3a = 30

a = `30/3`

a = 10

So, the middle term a is 10.