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Question 4. How many terms are there in the A.P.?(iii) 7, 13, 19, …, 205

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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 out how many terms are there.

CBSE DHANPAT RAI publications
Class:- 10th
Understanding CBSE Mathematics
Question 4(iii)

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1 Answer

  1. Given that,

    A.P. 7, 13, 19, …, 205

    where, a = 7 and d = a2 – a1 = 13 – 7 = 6,

    nth term is 205

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

    a + (n – 1)d = 205

    7 + (n – 1)(6) = 205

    7 + 6n – 6 = 205

    6n = 205 – 1

    n = 204/6

    n = 34

    Hence, there are 34 terms in the given A.P.

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