Question

rs 5000 is deposited at 6% simple interest. Check if the interest amount at the end of every year is in A.P. If this is an A.P. than find the amount of interest in 18 years.​

Answer 1

Answer:

Yes, the S.I amount at the end of the every year is in AP and  the amount of interest after 18 yrs 5400.

Step-by-step explanation:

Given information: Principal = 5000, Rate of interest = 6%.

Formula for interest:

Where, P is principal, r is rate of interest, t is time in years.

The S.I amount at the end of first year is

The S.I amount at the end of second ear is

The S.I amount at the end of third year is

The S.I amount at the end of the every year is

Here first term is 300 and common difference is 300. So S.I amount at the end of the every year is in AP.

The nth term of an AP is

The amount of interest after 18 yrs

Therefore the amount of interest after 18 yrs 5400.