A Golden Fraction II
Number Theory
Level
4
Consider a decimal such that the \(n^{\text{th}}\) digit to the right of the decimal place is the \(n^{\text{th}}\) term of the Fibonacci Sequence \(\mod 4\), as shown above.
The exact value of this decimal can be expressed in the form \(\dfrac{a}{b}\) for coprime positive integers \(a\) and \(b\).
What is the value of \(a+b\)?
by
Brandon Monsen