Question

In an A.P., if a = 8 and a₁₀ = −19, then value of d is ______.

Options

• 3

• `−11/9`

• `−27/10`

• −3

Answer 1

In an A.P., if a = 8 and a₁₀ = −19, then value of d is −3.

Explanation:

Given that,

⇒ a = 8, a₁₀ = −19

We know that,

a₁₀ = a + 9d 

⇒ −19 = 8 + 9d

⇒ 9d = −19 − 8

⇒ 9d = −27

⇒ d = `(−27)/9`

⇒ d = −3