In which of the following situations, does the list of numbers involved make as arithmetic progression and why?

The amount of money in the account every year, when Rs 10000 is deposited at compound interest at 8 % per annum.

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#### Solution

We know that if Rs P is deposited at r% compound interest per annum for n years, our money will be `p(1+r/100)^n`

Therefore, after every year, our money will be

`10000(1+8/100),10000(1+8/100)^2, 10000(1+8/100)^3...`

Clearly, adjacent terms of this series do not have the same difference between them. Therefore, this is not an A.P.

Concept: Arithmetic Progression

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