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 7𝑛−4 then the common difference of the A.P. is (A) 7 (B) 7𝑛 (C) - 4 (D) 4Taking n = 1 a1 = 7 × 1 − 4 a = 7 − 4 a = 3 Taking n = 2 a2 = 7 × 2 − 4 a2 = 14 − 4 a2 = 10 Taking n = 3 a3 = 7 × 3 − 4 a3 = 21 − 4 a3 = 17 Since an = 7n − 4 Hence, AP is 3, 10, 17, ….. Common difference = d = 10 − 3 = 7 So, the correct answer is (A)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo