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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, Tn = 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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