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

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

Algebra.Com

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) (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.
RELATED QUESTIONS
The product of 7 and a number is 2 less than the number. What is the "number"? I know the (answered by mananth)

Solve the equation and check your answer!!! (Q+8)/(3) + (Q-2)/2 =(10)/(3) Thank you (answered by Alan3354)

Hello, What would be the answer to the following problem and would you please show me... (answered by checkley71,BGluvsmath)

Tutor could you help me please? My problem is: If 6a/2=12 then a= ???? Would the... (answered by ptaylor)

Please Help! The product of: 2 1 -3 5 and 3 1 -1 2 4 -2 all in brackets, is... (answered by Fombitz)

I am having trouble with the following problems. Your help is requested. Thank you for... (answered by stanbon,rapaljer)

I am having problem answering these questions. Please kindly help me. 1: For what... (answered by stanbon)

What is the solution to the following equation 2 (x-3)=2x�5, I am not sure what to do.... (answered by Alan3354)

Please solve for x 7x-2(x+2)-3=4x+5 I keep getting stuck on this problem...the... (answered by solver91311,Earlsdon)