Question

What is the common difference of an AP in which a₁₈ – a₁₄ = 32?

Options

• 8

• – 8

• – 4

• 4

Answer 1

8

Explanation:

Given, a₁₈ – a₁₄ = 32

⇒ a + (18 – 1)d – [a + (14 – 1)d] = 32   ...[∵ a_n = a + (n – 1)d]

⇒ a + 17d – a – 13d = 32

⇒ 4d = 32

∴ d = 8

Which is the required common difference of an AP.