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Q : 1     In which of the following situations, does the list of numbers involved make an arithmetic progression, and why?

            (iv) The amount of money in the account every year, when  \small Rs\hspace{1mm}10000  is deposited at compound interest at \small 8\% per annum.

Answers (1)

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It is given that

Amount in the beginning = Rs. 10000
Now,

Interest at the end of 1st year at rate of \small 8\%

is \small 8\%  of 10000 = \frac{8\times 10000}{100} = 800

Therefore, the amount at the end of 1st year is 

= 10000 + 800 = 10800

Now,
Interest at the end of 2nd  year at rate of \small 8\%

is  \small 8\%  of 10800  = \frac{8\times 10800}{100} = 864 

Thus, amount at the end of 2nd year

= 10800 + 864 = 11664

And  so on 

We can clearly see that each subsequent term is not obtained by adding a unique number to the previous term.
Therefore, it is not an AP

Posted by

Gautam harsolia

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