## Have a Fibonacci Day!

Have a Fibonacci Day!

The Fibonacci numbers are defined as F_{0} = F_{1} = 1 and F_{n+1} = F_{n} + F_{n-1}.

Calculate the following infinite sum:

F_{0}3F_{1}3^{2}F_{2}3^{n}F_{n}--- + ---- + ----- + ... + ----- + ... 1 5 5^{2}5^{n}

View the solution

What Is This Geometric Sequence?

The Long Walk

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