Question 4 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 13, 2024 by Teachoo

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/

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Transcript

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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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