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Mathematics

The 25^th term of an A.P. exceeds its 9^th term by 16. Find its common difference.

AP

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Answer

Given,

⇒ a₂₅ - a₉ = 16

⇒ a + (25 - 1)d - (a + (9 - 1)d) = 16

⇒ a - a + 24d - 8d = 16

⇒ 16d = 16

⇒ d = 1.

Hence, common difference = 1.

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