The function y= 25• 2^x models the jackpot y, in dollars, in the game show for x weeks. write a recursive formula.

The recursive formula would be

.

The explicit formula given is in the form



We can manipulate this formula to find the initial value as well as the growth rate:



Viewing our equation in this form, we know that 


which tells us that g₁ = 50.

Since r = 2, we can write our recursive formula:

The answer should be 5.

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