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.
Amount in the beginning = Rs. 10000
Interest at the end of 1st year at rate of
is of 10000 =
Therefore, amount at the end of 1st year will be
= 10000 + 800
= 10800
Now,
Interest at the end of 2nd year at rate of
is of 10800 =
Therefore,, amount at the end of 2ndyear
= 10800 + 864 = 11664
Since, each subsequent term is not obtained by adding a unique number to the previous term; hence, it is not an AP