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Problem 6: Find out which of the following sequences are arithmetic progressions. For those which are arithmetic progressions, find out the common difference(xii) 1^2, 5^2, 7^2, 73,

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This is the basic and conceptual question from Chapter name- Arithmetic Progression
Chapter number- 9
Exercise 9.3

In this question we have been given the sequence and we have to find out if the sequence is in arithmetic progression. Also ww have to find common difference.

CBSE DHANPAT RAI publications
Class:- 10th
Understanding CBSE Mathematics
Question 6(xii)

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  1. Solution:

    Now,

    a2  – a1 = 5– 12 = 24

    a3 – a2 = 7– 52 = 24

    a4 – a3 = 73 – 72 = 24

    Since, the successive difference of list is same

    ∴ The given sequence is in A.P and common difference is 24

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