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deepaksoni
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Asked: 2021-05-09T22:28:39+05:30 In:

Problem 6: Justify whether it is true to say that the sequence, having following nth term is an A.P. (ii) an = 3n² + 5

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This is the basic and conceptual question from Chapter name- Arithmetic Progression
Chapter number- 9
Exercise 9.2

We have been given the nth term of that series and we have to find out that it is an AP series or not.
CBSE DHANPAT RAI publications
Class:- 10th
Understanding CBSE Mathematics
Question 6(ii)

arithmetic progressionsrd sharma
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    1. Guru

      Solution:

      Now putting n = 1, 2, 3, 4 we get,

      a1 = 3.1.1 + 5 = 8

      a2 = 3.2.2 + 5 = 17

      a3 = 3.3.3 + 5 = 32

      a4 = 3.4.4 + 5 = 53

      We can see that,

      a2 – a1 = 17 – (8) = 9

      a3 – a2 = 32 – (17) = 15

      a4 – a3 = 53 – (32) = 21

      Since, the successive difference of list is not the same

      Hence, the given sequence is not in A.P

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