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Omni-MATH / Let f(x)=x²−2, and let f^(n) denote the function f applied n times. Compute the remainder when f²⁴(18) is divided by 89.

Problem

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problem

Let f(x)=x2−2f(x)=x^{2}-2, and let fnf^{n} denote the function ff applied nn times. Compute the remainder when f24(18)f^{24}(18) is divided by 89.
Plain-text mathematical notation (without MathML)
Let f(x)=x²−2, and let f^(n) denote the function f applied n times. Compute the remainder when f²⁴(18) is divided by 89.
Original LaTeX notation
Let $f(x)=x^{2}-2$, and let $f^{n}$ denote the function $f$ applied $n$ times. Compute the remainder when $f^{24}(18)$ is divided by 89.

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Source and history

task_id
a556446a-3643-5a3e-866e-cd3e710f11a2
task_key
test--a556446a-3643-5a3e-866e-cd3e710f11a2
task_revision_id
1
config / split
/ test

Official source

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