Question

A sum of rupees 1000 is invested at 8 percentage simple interest per year calculate the interest at the end of each year Do these interest forms an AP? If so find the interest at the end of 30 years​

Answer 1

Step-by-step explanation:

Let P be the principle, R rate of interest and I

n

be the interest at the end of n years.

I

n

=

100

PRn

Here,

P=Rs.1000 and R=8 % per annum

Therefore,

I

n

=Rs.(

100

1000×8×n

)=Rs.80n

Putting n = 1, 2, 3, ....., we have

I

1

=Rs.80,I

2

=Rs.160,I

3

=Rs.240 and so on.

Since I

n

is a linear expression in n. Therefore, the sequence of interest forms an AP with common difference 80.