The amount of money in the account every year, when Rs 10000 is deposited at
compound interest at 8 % per annum. is an arthemetic
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The amount of money in the account every year, when Rs 10,000 is deposited at compound Interest at 8% per annum. Therefore, the sequence is 15, 23, 31, 39… It is an arithmetic progression because difference between any two consecutive terms is equal which is 8.
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We know that if Rs. P is deposited at r% compound interest per annum for n years, the amount of money will be:
P(1+r/100)n
Therefore, after each year, the amount of money will be;
10000(1+8/100), 10000(1+8/100)2, 10000(1+8/100)3……
Clearly, the terms of this series do not have the common difference between them. Therefore, this is not an A.P.
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