In which of the following situations, does the list of numbers involved make an 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.

Question

Philoid · Accepted Answer

Given that initially 10000 is in the account, so it is first term ‘a’.

Every year 8% compound interest will be paid for that.

That means they will pay 8% of 10000 for the first year.

⇒ will be paid.

After first year 800 will be added to account.

So the amount will be become 10800.

Since it is compound interest every year principal amount will be updated.

So, they will pay 8% of 10800 in the second year.

⇒ will be paid.

After first year 864 will be added to account.

So the amount will be become 11664.

So, the series will be 10000, 10800, 11664 …..

Since the common difference is not same.

The series is not in A.P

In which of the following situations, does the list of numbers involved make an 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.