Question

A sheep breeding farm counted a total of 40 sheep on their grounds. After one year, the number of sheep doubled. Then in the next year, the number of sheep doubled again. If this trend continues, which of the following options represents the number of sheep on the farm by the end of each year?

Answer 1

Explanation:

It is comes under geometric sequence;

40 , 80 , 160 ,320 , ........

First term = a = 40

Common ratio = r = 2

nth term =
`ar^(n-1)\\`

Number of sheep on the farm by the end of each year =
`40*(2)^(n-1)\\`