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 is deposited at compound interest at per annum.
It is given that
Amount in the beginning = Rs. 10000
Now,
Interest at the end of 1st year at rate of
is of 10000
Therefore, the amount at the end of 1st year is
= 10000 + 800 = 10800
Now,
Interest at the end of 2nd year at rate of
is of 10800
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