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  • In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. The amount of money in the account of Varun at the end of every year when Rs 1000 is deposited at simple interest of 10% per annum

In which of the following situations, do the lists of numbers involved form an AP? Give reasons for your answers. The amount of money in the account of Varun at the end of every year when Rs 1000 is deposited at simple interest of 10% per annum

Answers (1)

Answer.          [Yes]

Solution.         We know that : Simple interest = (P × R × T)/100

\text{Here } P = 1000 \text{ Rs, } R = 10\% \text{ p.a., } T = 1 \text{ year} \\ \text{SI} = \frac{1000 \times 10 \times 1}{100} = 100 \text{ Rs} \\ \text{Here the common difference } (d) = 100 \text{ Rs and the first term } (a_1) = 1000 \text{ Rs} \\ a_1 = 1000 \text{ Rs} \\ a_2 = 1000 + 100 = 1100 \text{ Rs} \\ a_3 = 1000 + 200 = 1200 \text{ Rs} \\ a_4 = 1000 + 300 = 1300 \text{ Rs} \\ \text{So the AP is } 1000, 1100, 1200, 1300, \ldots                       

This is definite form an AP with common difference of SI=100 Rs.

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