What is the common difference of an AP in which a18 – a14 = 32?
Let a be the first term and d be the common difference.
Given: a18 – a14 = 32
⇒ (a + 17d) - (a + 13d) = 32
⇒ 17 d - 13d = 32
⇒ 4d = 32
⇒ d = 8
∴ d = common difference = 8