If the 5th term of an arithmetic progression (AP) is 16 and the 9th term is 22, then find the 7th term of the series.

A25

B22

C19 ✓ Correct

D20.5

Correct answer: (C) 19

Explanation

The 7th term equals 19.

In an AP, 5th term a + 4d = 16 and 9th term a + 8d = 22.

Subtracting: 4d = 6, so d = 1.5.

The 7th term a + 6d lies midway between the 5th and 9th terms.

7th term = (16 + 22)/2 = 19.

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