We will write functions for the money that Kara and Kevin will receive each day.
1) The first day, Kara receives $3, and then she receives $1 more each day.
The money that she receives the n day is given by the following recursive function
[tex]f(n)=f(n-1)+1[/tex]
where n is the nth day, and f(1) = 3. We can also write this function in the following form:
[tex]f(n)=3+(n-1)\cdot1[/tex]
2) In the case of Kevin, he receives $0.25 the first day, and the next day he will receive the double.
So we can write the following recursive function:
[tex]g(n)=2\cdot g(n-1)[/tex]
where n is the nth day, and g(0) = 0.25/2. We can also write this function in the following form:
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