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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)

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1 Answer

  1. 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 a= -12

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