Question

In the following APs, find the missing term in the boxes:

`-4, square, square, square, square, 6`

Answer 1

-4, -2, 0, 2, 4, 6

Explanation:

For this A.P.,

a = −4 and

a₆ = 6

We know that,

a_n = a + (n − 1) d

a₆ = a + (6 − 1) d

6 = −4 + 5d

10 = 5d

d = 2

a₂ = a + d = −4 + 2 = −2

a₃ = a + 2d = −4 + 2 (2) = 0

a₄ = a + 3d = −4 + 3 (2) = 2

a₅ = a + 4d = −4 + 4 (2) = 4

Therefore, the missing terms are −2, 0, 2 and 4 respectively.