Question

A car rental company rented out 8 cars in its first month. The number of cars it rented doubled each month. What was the total number of cars the company rented out for the first 5 months?

Answer 1

The total number of cars rented for the first 5 months is
8 + 16 + 32 + 64 + 128 = 248

Answer 2

Answer:

248

Step-by-step explanation:

A car rental company rented out 8 cars in its first month.

The number of cars it rented doubled each month.

The given situation forms G.P.

a = first term = 8

r = common ratio = 2

Formula of sum of first nth term in G.P. = $S_n=\frac{a(1-r^n}{1-r}$

Now we are supposed to find total number of cars the company rented out for the first 5 months.

Substitute n = 5

$S_5=\frac{8(1-2^5)}{1-2}$

$S_5=248$

Hence the total number of cars the company rented out for the first 5 months is 248.