The 17th term of an AP exceeds its 10th term by 21. The common difference of the AP is

Foundation

Mathematics Foundation

nth term of AP

Question

The 17th term of an AP exceeds its 10th term by 21. The common difference of the AP is

A

3

B

– 2

C

2

D

– 3

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(T₁₇ – T₁₀) = 21 ⇒ (a + 16d) – (a + 9d) = 21 ⇒ 4d = 21 ⇒ d = 3.