Q18 of 178 Page 559

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

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