First ticket drawn wins a prize of 25$, each ticket after that receives a price twice the value of the preceding prize.

Question

 

 

In a lottery, the first ticket drawn wins a prize of $25. Each ticket after that receives a prize that is twice

 the value of the preceding prize.

 

a) Write a function to model the total amount of prize money given away.

b) How many prizes are given out if the total amount of prize money is approximately $2 million?

 

Answer 1

Step 1:

a)

Common ratio

First term

The formula for sum of terms.

where

Substitute the values of and in .

The function to model the total amount of prize money is .

Step 2:

b) If the total ammount of prize money is approximately $2 million

The values of and

Therefore 16 prizes are required for $2 million.

Solution

a) The function to model the total amount of prize money is .

b) 16 prizes.