CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard

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Question 5 - CBSE Class 10 Sample Paper for 2024 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

Question 5

Two APs have the same common difference. The first term of one of these is –1 and that of the other is – 8. The difference between their 4th terms is

(a) 1                  (b) -7                 (c) 7                    (d) 9

This question is similar to Ex-5.2, 12-Chapter 5 Class 10 Arithmetic Progressions

 

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Transcript

First AP Given a = –1 We know that an = a + (n – 1) d So, 4th term will be a4 = – 1 + (4 – 1) d a4 = – 1 + 3d So, 4th term of 1st AP = – 1 + 3d Second AP Given b = −8 We know that bn = b + (n – 1) d So, 4th term will be b4 = – 8 + (4 – 1)d b4 = – 8 + 3d So, 4th term of 2nd AP = – 8 + 3d , So difference between their 4th terms a4 – b4 = – 1 + 3d – (– 8 + 3d) = – 1 + 3d + 8 – 3d = 7 So, the correct answer is (c)

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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