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deepaksoni
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Asked: 2021-04-30T07:26:44+05:30 In:

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

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This is arithmetic progression based 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 1st term and nth term as a1 = -1, an = (an – 1)/(n), n >= 2

CBSE DHANPAT RAI PUBLICATIONS
Understanding CBSE Mathematics
Class :- 10th
Question no 3(iii )

arithmetic progressionsclass 10thr d 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

      a3 = a2 /3 = (-1/2)/3 = -1/6

      a4 = a3/4 = (-1/6)/4 = -1/24

      a5 = a4/5 = (-1/24)/5 = -1/120

      a6 = a5/6 =(-1/120)/6 = -1/720

      ∴ The next five terms are -1/2, -1/6, -1/24, -1/120, -1/720

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