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Ques 3 (ii) Is 302 a term of the A.P. 3, 8, 13, ….?

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One of the most important and exam oriented question from Chapter name- Arithmetic Progression
Class 10th
Chapter number- 9
Exercise :- 9.4
This type of question has been asked in previous years exams.

In this question we have been given an arithmetic progression. And we have to find if 302 is a term of the A.P. 3, 8, 13, …

CBSE DHANPAT RAI publication
Understanding CBSE Mathematics
Question 3(ii)

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1 Answer

  1. Given, A.P. 3, 8, 13,…

    from given series, a = 3 and d = a2 – a1 = 8 – 3 = 5

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

    we have to find at which position 302 is present in given series,

    a + (n – 1)d = 302

    3 + (n – 1)5 = 302

    3 + 5n – 5 = 302

    5n – 2 = 302

    5n = 304

    n = 304/5, which is not a whole number.

    Hence, 302 is not a term in the A.P.

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