- #1
FP3
- 1
- 0
Help! Infinite continued fractions!
-2 + 1
-2 + 1
-2 + 1
-2 + 1
...
an = -2, bn = 1
What is the sum of this indefinite continued fraction, putting this into a quadratic equation? x^2 + 2x - 1 = 0
Using the quadratic formula, I got .4142 and -2.4142, but there is only 1 sum. The an value is -2 (so is that even possible?). Help quickly!
Homework Statement
-2 + 1
-2 + 1
-2 + 1
-2 + 1
...
an = -2, bn = 1
Homework Equations
What is the sum of this indefinite continued fraction, putting this into a quadratic equation? x^2 + 2x - 1 = 0
The Attempt at a Solution
Using the quadratic formula, I got .4142 and -2.4142, but there is only 1 sum. The an value is -2 (so is that even possible?). Help quickly!