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MATH / Let f(x) be a function such that for all x, f(x)=f(x+1)+f(x−1). Given that f(15)=20 and f(20)=15, compute f(20152015).

Problem

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problem

Let f(x)f(x) be a function such that for all x,x, f(x)=f(x+1)+f(x−1).f(x) = f(x + 1) + f(x - 1). Given that f(15)=20f(15) = 20 and f(20)=15,f(20) = 15, compute f(20152015).f(20152015).
Plain-text mathematical notation (without MathML)
Let f(x) be a function such that for all x, f(x)=f(x+1)+f(x−1).  Given that f(15)=20 and f(20)=15, compute f(20152015).
Original LaTeX notation
Let $f(x)$ be a function such that for all $x,$ $f(x) = f(x + 1) + f(x - 1).$  Given that $f(15) = 20$ and $f(20) = 15,$ compute $f(20152015).$

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
5407c145-8a3c-52a7-a6cf-170182091398
task_key
intermediate~5falgebra--test--5407c145-8a3c-52a7-a6cf-170182091398
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import