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

Foundation

Mathematics Foundation

nth term of AP

Question

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

A

4

B

– 4

C

8

D

– 8

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a₁₈ – a₁₄ = 32 ⇒ (a + 17d) – (a + 13d) = 32 ⇒ 4d = 32 ⇒ d = 8.