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Australian AMC 2016 - Junior Question 29

AMC AUSTRALIA · Australian AMC 2016 - Junior

Question 29

Lucas invented the list of numbers 2, 1, 3, 4, 7, … where each number after the first two is the sum of the previous two. He worked out the first 100 numbers by hand, but unfortunately he made one mistake in the 90th number, which was out by 1. How far out was the 100th number?