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Problem 3: In which of the following situations, the sequence of numbers formed will form an A.P.? (i) The cost of digging a well for the first metre is ₹ 150 and rises by ₹ 20 for each succeeding metre.

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This is the basic and conceptual question from Chapter name- Arithmetic Progression
Chapter number- 9
Exercise 9.3

We have been given  the cost of digging well for the first and second meter and we have to find that if that sequence of numbers forms AP or not.

CBSE DHANPAT RAI publications
Class:- 10th
Understanding CBSE Mathematics
Question 3(i)


1 Answer

  1. Given:

    Cost of digging a well for the first metre = ₹150


    Cost for the second metre = ₹150 + ₹20 = ₹170

    Cost for the third metre = ₹170 + ₹20 = ₹190

    Cost for the fourth metre = ₹190 + ₹20 = ₹210

    Since, 20 is added fo each succeeding metre

    Hence, the sequence will be (In rupees) and is A.P

    150, 170, 190, 210, ………..

    ∴ The given sequence is in A.P and common difference is 20

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