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Common Difference

If the n th t...

Question

If the nth term of an AP is (7 − 4n), then its common difference is
(a) 4
(b) −4
(c) 3
(d) −3

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Solution

(b) -4
Here, T_n = 7 - 4n
Then T₁= 7 - 4 ⨯ 1 = 3
Also, T₂= 7 - 4 ⨯ 2 = -1
∴ d = T₂ - T₁= -1 - 3 = -4
Hence, the common difference is -4.

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