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Problems > High School Math > 2002

Have a Fibonacci Day!

Have a Fibonacci Day!

The Fibonacci numbers are defined as F0 = F1 = 1 and Fn+1 = Fn + Fn-1.

 

Calculate the following infinite sum:

 

 

 F0      3F1      32F2          3nFn 
---  +  ----  +  ----- + ... + ----- + ...
 1        5        52           5n

 



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