This question is similar to Chapter 5 Class 10 Arithmetic Progressions - Ex 5.3

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https://www.teachoo.com/1623/514/Ex-5.3--10---Show-that-a1--a2--...-an-form-an-AP-where-an/category/Ex-5.3/

 

[MCQ] If nth term of an A.P. is 7n-4 then the common difference is - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard

 

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Question 4 If nth term of an A.P. is 7š‘›āˆ’4 then the common difference of the A.P. is (A) 7 (B) 7š‘› (C) - 4 (D) 4Taking n = 1 a1 = 7 Ɨ 1 āˆ’ 4 a = 7 āˆ’ 4 a = 3 Taking n = 2 a2 = 7 Ɨ 2 āˆ’ 4 a2 = 14 āˆ’ 4 a2 = 10 Taking n = 3 a3 = 7 Ɨ 3 āˆ’ 4 a3 = 21 āˆ’ 4 a3 = 17 Since an = 7n āˆ’ 4 Hence, AP is 3, 10, 17, ….. Common difference = d = 10 āˆ’ 3 = 7 So, the correct answer is (A)

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