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Question 1. Find: (ii) 18th term of the AP √2, 3√2, 5√2, …….

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This is the basic and conceptual question from Chapter name- Arithmetic Progression
Chapter number- 9
Exercise 9.4

In this question we have been given an arithmetic progression. And we have to find its 18th term.

CBSE DHANPAT RAI publications
Class:- 10th
Understanding CBSE Mathematics
Question 1(ii)

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1 Answer

  1. Given that,

    A.P. is √2, 3√2, 5√2, …….

    First term (a) = √2,

    Common difference = Second term – First term

    d = 3√2 – √2 = 2√2

    As we know that, to find nth term in an A.P = a + (n – 1)d

    Therefore, 18th term of A. P. = √2 + (18 – 1)2√2

    = √2 + 17.2√2 = √2 (1+34) = 35√2

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