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# Problem 3: In which of the following situations, the sequence of numbers formed will form an A.P.? (iii) Divya deposited Rs 1000 at compound interest at the rate of 10% per annum. The amount at the end of first year, second year, third year, …, and so on.

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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 that Divya deposited Rs 1000 at compound interest at the rate of 10% per annum. The amount at the end of first year, second year, third year, …, and so on 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(iii)

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1. Given:

Divya deposited Rs 1000 at compound interest of 10% p.a

So, the amount at the end of first year is = 1000 + 0.1(1000) = Rs 1100

And, the amount at the end of second year is = 1100 + 0.1(1100) = Rs 1210

And, the amount at the end of third year is = 1210 + 0.1(1210) = Rs 1331

Here, a2 – a1 = 1210 – 1100 = 110

a3 – a2 = 1331 – 1210 = 121

Since, the successive difference of list is not same

∴ The given sequence is not in A.P

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