SOLUTION: Hello, I need help finding the explicit formula for this problem. I'm fairly certain that I got the recursive one right, but I cannot figure out how to write the explicit formula.

Question 1085106: Hello, I need help finding the explicit formula for this problem. I'm fairly certain that I got the recursive one right, but I cannot figure out how to write the explicit formula. Any help would be much appreciated.
Thanks in advance for your help!

1. Find both a recursive rule and an explicit rule that will generate the values in the table below, provided that a0 = 3/2.
n: 1---- 2---- 3---- 4---- 5---- 6
an: 2---- 3---- 5---- 9----17----33

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

�

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To find the explicit formula, let's just do some substitutions on the first few values to see if it can be generalized:

Those last three terms look a lot like (n=3 and the numbers add to 7)
�
I claim that
�
Check: (ok)

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