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deepaksoni
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Asked: 2021-04-30T07:08:10+05:30 In:

Problem 2: Find the indicated terms in each of the following sequences whose nth terms are(iv) an = (n – 1)(2 – n)(3 + n); a1, a2, a3

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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
We have to find the indicated terms asked in the question whose nth term is an= (n – 1)(2 – n)(3 + n)
CBSE DHANPAT RAI publication
Understanding CBSE Mathematics
Question 2 (iv)

arithmetic progressionsclass 10thrd sharma
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    1 Answer

    1. Guru

      Solution:

      Given:

      an = (n – 1)(2 – n)(3 + n)

      By putting n = 1

      a1 = (1 – 1)(2 – 1)(3 + 1) = 0.1.4 = 0

      By putting n = 2

      a2 = (2 – 1)(2 – 2)(3 + 2) = 1.0.5 = 0

      By putting n = 3

      a3 = (3 – 1)(2 – 3)(3 + 3) = 2.-1.6 = -12

      ∴ The required terms a1= 0, a2 = 0 and a3 = -12

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