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Problem 1: Write the first terms of each of the following sequences whose nth term are:(v) an = (-1)ⁿ2ⁿ

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This is the basic and conceptual question from Chapter name- Arithmetic Progression

Chapter number- 9

Exercise 9.1

Here we have nth term(-1)n.2n of the AP and we are asked to find the first term of it.

CBSE DHANPAT RAI publications

Class:- 10th

Understanding CBSE Mathematics

Question 1 ( v)

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1 Answer

  1. Given:

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

    a1 = (-1). 2 = -2

    a2 = (-1). 22  = 4

    a3 = (-1). 23   = -8

    a4 = (-1). 2 = 16

    a5 = (-1)5 . 25  = -32

    ∴ The first five terms are -2, 4, -8, 16, -32

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