SOLUTION: What is the answer of the following problem? 2 + (3/(2+(3/(2+(3/(2+..).))))) = Thank you for your help

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What is the answer of the following problem? 2 + (3/(2+(3/(2+(3/(2+..).))))) = Thank you for your help      Log On


   

Question 219498: What is the answer of the following problem?
2 + (3/(2+(3/(2+(3/(2+..).))))) =
Thank you for your help
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let

Take note how the bottom portion of the fraction is which is equal to 'y' (continue it out and you'll see it). I.e. the same expression is nested inside the larger expression.



This means that




Or in short




Now just solve for 'y' to find the value of

Note: you will get two solutions, but you're only going to focus on the positive solution.