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Omni-MATH / An infinite sequence of positive real numbers is defined by a₀=1 and a_(n+2)=6a_(n)−a_(n+1) for n=0,1,2,⋯ Find the possible value(s) of a₂₀₀₇.

Problem

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problem

An infinite sequence of positive real numbers is defined by a0=1 a_{0}=1 and an+2=6an−an+1 a_{n+2}=6 a_{n}-a_{n+1} for n=0,1,2,⋯ n=0,1,2, \cdots Find the possible value(s) of a2007 a_{2007} .
Plain-text mathematical notation (without MathML)
An infinite sequence of positive real numbers is defined by a₀=1 and a_(n+2)=6a_(n)−a_(n+1) for n=0,1,2,⋯ Find the possible value(s) of a₂₀₀₇.
Original LaTeX notation
An infinite sequence of positive real numbers is defined by \( a_{0}=1 \) and \( a_{n+2}=6 a_{n}-a_{n+1} \) for \( n=0,1,2, \cdots \) Find the possible value(s) of \( a_{2007} \).

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Source and history

task_id
554c196b-4c77-581a-872d-d9e76efb5ff9
task_key
test--554c196b-4c77-581a-872d-d9e76efb5ff9
task_revision_id
1
config / split
/ test

Official source

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