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Formula for Sum of n Terms of an AP

If the n th t...

Question

If the nth term of an AP is (3n + 5), then its common difference is
(a) 5
(b) 4
(c) 3
(d) 2

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Solution

(c) 3
Here, T_n = 3n + 5
Then, T₁= 3 ⨯ 1 + 5 = 8
Also, T₂= 3 ⨯ 2 + 5 = 11
∴ d = T₂ - T₁ = 11 - 8 = 3
Hence, the common difference is 3.

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