MathDB

Sequence

Source:

November 28, 2005

number theoryrelatively prime2002 AIME I 8

Problem Statement

Find the smallest integer

k

for which the conditions

(1)

a_1, a_2, a_3, \ldots

is a nondecreasing sequence of positive integers

(2)

a_n=a_{n-1}+a_{n-2}

for all

n>2

(3)

a_9=k

are satisfied by more than one sequence.

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