SOLUTION: yn= 1.05y(n-1) +2 and y(0) = 3. Find an explicit formula for y(n).

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Question 1188459: yn= 1.05y(n-1) +2 and y(0) = 3. Find an explicit formula for y(n).
Found 3 solutions by MathLover1, mccravyedwin, Edwin McCravy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

and .
Find an explicit formula for .
..........if






...........since






Answer by mccravyedwin(408)   (Show Source): You can put this solution on YOUR website!

Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!
The other solution is incorrect.

A well-known theorem states that the general (explicit) formula for the recursion formula 

 has the form 

We calculate y(1) = 5.15, y(2) = 7.4075, substitute it and A=1.05





We calculate y(2) = 7.4075, substitute it and A=1.05







Equating the expressions for D











General (explicit) formula



Edwin
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