Problem of the Week - February 17, 2020

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The Fibonacci sequence beings with two 1s.  Each term after the first two 1s is the sum of previous two terms.  The sequence begins 1, 1, 2, 3, 5, 8, …

Let a, b, c, and d be four consecutive terms of the Fibonacci sequence.  If

a + b + c = 3194 and

b + c + d = 5168

find the value of a.


**There was a typo for just shy of 1 hour when this problem was posted.  Answers based on that typo have been marked as correct and awarded the appropriate points.**

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