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deepaksoni
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Asked: 2021-05-09T22:31:02+05:30 In:

Problem 6: Justify whether it is true to say that the sequence, having following nth term is an A.P. (iii) an = 1 + n + n² .

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One of the most important and exam oriented question from Chapter name- Arithmetic Progression
Class 10th
Chapter number- 9
Exercise :- 9.2
In this question we have been given the sequence and we have to find out that it is an AP or not.

CBSE DHANPAT RAI publication
Understanding CBSE Mathematics
Question 6(iii)

arithmetic progressionsrd sharma
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    1. Guru

      Solution:

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

      a1 = 1 + 1 + 1.1 = 3

      a2 = 1 + 2 + 2.2 = 7

      a3 = 1 + 3 + 3.3 = 13

      We can see that,

      a2 – a1 = 7 – (3) = 4

      a3 – a2 = 13 – (7) = 6

      Since, the successive difference of list is not the same

      Hence, the given sequence is not in A.P

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