A Golden Fraction II

0.11231010.1123101\ldots

Consider a decimal such that the nthn^{\text{th}} digit to the right of the decimal place is the nthn^{\text{th}} term of the Fibonacci Sequence mod4\mod 4, as shown above.

The exact value of this decimal can be expressed in the form ab\dfrac{a}{b} for coprime positive integers aa and bb.

What is the value of a+ba+b?

×

Problem Loading...

Note Loading...

Set Loading...