September 2020 - Math Problem

There is a sequence of numbers called the Fibonacci sequence in which the first two numbers are 1 and then the rest of the numbers are the sum of the previous two numbers.  Here are the first 12 terms of the sequence. 

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144

How many of the first 25 terms of the sequence are even numbers?

Solution:

8 of the first 25 will be even.  How many would be even in the first 100 terms?  

Research the Fibonacci Sequence (and the Golden Ratio) to learn more about this fascinating sequence.

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