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deepaksoni
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Guru
Asked: 2021-04-30T07:25:03+05:30 In:

Problem 3: Find the next five terms of each of the following sequence given by:(ii) a1 = a2 = 2, an = an – 1 – 3, n > 2

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This is the basic and conceptual question from Chapter name- Arithmetic Progression
Chapter number- 9
Exercise 9.1
We have to find the next five terms asked in the question where we have been given the first term and nth term as:-   “a1 = a2 = 2, an = an – 1 – 3, n > 2”

CBSE DHANPAT RAI publications
Class:- 10th
Understanding CBSE Mathematics
Question 3(ii )

arithmetic progressionsclass 10thrd sharma
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    1 Answer

    1. Guru

      Solution:

      By putting n = 3, 4, 5, 6, 7 we get next five term of the sequence

      a3 = a2 – 3 = 2 – 3 = -1

      a4 = a3 – 3 = -1 – 3 = -4

      a5 = a4 – 3 = -4 – 3 = -7

      a6 = a5 – 3 = -7 – 3 = -10

      a7 = a6 – 3 = -10 – 3 = -13

      ∴ The next five terms are -1, -4, -7, -10, -13

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