#### Question

In the following APs find the missing term in the boxes

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#### Solution

For this A.P.,

a_{2} = 13 and

a_{4} = 3

We know that, a_{n} = a + (n − 1) d

a_{2} = a + (2 − 1) d

13 = a + d (I)

a_{4} = a + (4 − 1) d

3 = a + 3d (II)

On subtracting (I) from (II), we obtain

−10 = 2d

d = −5

From equation (I), we obtain

13 = a + (−5)

a = 18

a_{3} = 18 + (3 − 1) (−5)

= 18 + 2 (−5) = 18 − 10 = 8

Therefore, the missing terms are 18 and 8 respectively.

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#### Reference Material

Solution for question: In the following APs find the missing term in the boxes concept: null - nth Term of an AP. For the course CBSE