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fibonacci recurrence for juniors - Greece Juniors 1990 p1

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September 14, 2024
Fibonaccialgebra

Problem Statement

Considee thr positive integers a1,a2,...,a10a_1,a_2,...,a_{10} such that from the third and on, each it the sum of it's two previous terms (i.e. a3=a2+a1a_3=a_2+a_1, a4=a3+a2a_4=a_3+a_2, ...). If a5=7a_5=7, find a10a_{10}.
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