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Question 4. How many terms are there in the A.P.?(iv) 18, 15½, 13, …., -47

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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 no of terms in this AP

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

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1 Answer

  1. Given that,

    A.P. 18, 15½, 13, …., -47

    where, a = 7 and d = 15½ – 18 = 5/2,

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

    a + (n – 1)d = 43

    18 + (n – 1)(-5/2) = -47

    18 – 5n/2 + 5/2 = -47

    36 – 5n + 5 = -94

    5n = 94 + 36 + 5

    5n = 135

    n = 27

    Hence, there are 27 terms in the given A.P.

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