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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