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Question 3. (i) Is 68 a term of the A.P. 7, 10, 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 68 is a term of the A.P. 7, 10, 13,…

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

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1 Answer

  1. Given that,

    A.P. 7, 10, 13,…

    from given series,

    a = 7 and d = a2 – a1 = 10 – 7 = 3

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

    we have to find at which position 68 is present in given series,

    a + (n – 1)d = 68

    7 + (n – 1)3 = 68

    7 + 3n – 3 = 68

    3n + 4 = 68

    3n = 64

    n = 64/3, which is not a whole number.

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