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Problem 1: Write the first terms of each of the following sequences whose nth term is(ii) an = (n – 2)/3

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This is arithmetic progression based question from Chapter name- Arithmetic Progression
Chapter number- 9
Exercise – 9.1

In this question we have been given the nth term (n-2)/3 of an arithmetic series and we have to find the first term of the series.

CBSE DHANPAT RAI PUBLICATIONS
Understanding CBSE Mathematics
Class :- 10th
Question no 1 (ii )

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1 Answer

  1. Given:

    By putting n = 1, 2, 3, 4, 5 we get first five term of the sequence

    an = (n – 2)/3

    a1 = (1-2)/3 = -1/3

    a2 = (2 – 2)/3 = 0

    a3 = (3 – 2)/3 = 1/3

    a4 = (4 – 2)/3 = 2/3

    a5 = (5 – 2)/3 = 3/3 =1

    ∴ The first five terms are -1/3, 0, 1/3, 2/3, 1

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