CEMC Banner

Problem of the Week
Problem C
Teacher Road Trip 1

To help pass time on a long bus ride, \(35\) math teachers created a sequence of numbers, with each teacher saying one term in the sequence. The first teacher said the number \(2\), the second teacher said the number \(8\), and every teacher after that said the sum of the two previous terms. Thus,

Once the final teacher said their number, the 25th teacher announced they had made a mistake and their number should have been one more than what they had said. How much larger should the final teacher’s number have been?

Themes: Algebra, Number Sense