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

Last updated at Oct. 3, 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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