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Big Fibonacci

Stage: 4 Short Challenge Level: Challenge Level:1
See all short problems arranged by curriculum topic in the short problems collection


In a sequence of positive integers, every term after the first two terms is the sum of the two previous terms in the sequence.

If the fifth term is $2004$, what is the maximum possible value of the first term?




If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.