Question

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

Answer 1

For this A.P.,

a = 5 and

a₄ = `19/2`

We know that, an = a + (n − 1) d

a₄ = a + (4 - 1) d

`19/2` = 5 + 3d

`19/2-5 = 3d`

`9/2=3d`

d = 3/2

a₂ = a + (2 - 1) d

a₂ = 5 + 3/2

a₂ = 13/2

a₃ = a + (3 - 1) d

a₃ = 5 + 2×3/2

a₃ = 8

Therefore, the missing terms are 13/2 and 8 respectively.