SOLUTION: On my math homework, there's a bunch of tables for x and y. I've already established witch ones are linear and which are exponential. I'm having trouble on the following exponentia

Algebra ->  Functions -> SOLUTION: On my math homework, there's a bunch of tables for x and y. I've already established witch ones are linear and which are exponential. I'm having trouble on the following exponentia      Log On


   



Question 1019352: On my math homework, there's a bunch of tables for x and y. I've already established witch ones are linear and which are exponential. I'm having trouble on the following exponential function. I need to find the equation of it:
X: 0 1 2 3 4
Y: 16 20 25 31.25 39.0625

Answer by ikleyn(52799) About Me  (Show Source):
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On my math homework, there's a bunch of tables for x and y. I've already established witch ones are linear and which are exponential. I'm having trouble on the following exponential function. I need to find the equation of it:
X: 0 1 2 3 4
Y: 16 20 25 31.25 39.0625
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The sequence (Y) is the geometric progression with the common ratio 5%2F4.

So the general formula for its n-th term is 

a%5Bn%5D = a%5B0%5D*%285%2F4%29%5En, 

where a%5B0%5D = 16, n = 0, 1, 2, 3 . . . 

Notice that the first index (X) is zero.