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deepaksoni
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Asked: 2021-04-30T07:22:44+05:30 In:

Problem 3: Find the next five terms of each of the following sequence given by:(i) a1 = 1, an = an – 1 + 2, n ≥ 2

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One of the most important and exam oriented question from Chapter name- Arithmetic Progression
Class 10th
Chapter number- 9
Exercise :- 9.1
In this question we have been given the first and nth term as :- a1 = 1, an = an – 1 + 2, n ≥ 2, and we have to find the next five terms

CBSE DHANPAT RAI publication
Understanding CBSE Mathematics
Question 3 (i )

arithmetic progressionsclass 10thrd sharma
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    1. Guru

      Solution:

      By putting n = 2, 3, 4, 5, 6 we get next five term of the sequence

      a2 = a1 + 2 = 1 + 2 = 3

      a3 = a2 + 2 = 3 + 2 = 5

      a4 = a3 + 2 = 5 + 2 = 7

      a5 = a4 + 2 = 7 + 2 = 9

      a6 = a5 + 2 = 9 + 2 = 11

      ∴ The next five terms are 3, 5, 7, 9, 11

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