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deepaksoni
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Asked: 2021-04-29T07:28:59+05:30 In:

Problem 1: Write the first terms of each of the following sequences whose nth term is : (vii) an = n2 – n + 1

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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 as an = n2 – n + 1 of any 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 (vii)

apclass 10thrd sharma
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    1 Answer

    1. Guru

      Solution: 

      Given:

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

      a1 = 12 – 1 + 1 = 1

      a2 = 22 – 2 + 1 = 3

      a3 = 32 – 3 + 1  = 7

      a4 = 42 – 4 + 1 = 13

      a5 = 52 – 5 + 1 = 21

      ∴ The first five terms are  1, 3, 7, 13, 21

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