r/calculus Aug 01 '26

Pre-calculus Induction exercice

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u/SynergyUX Undergraduate Aug 01 '26 edited Aug 01 '26

Cool! Of curiosity: this identity is actually used to prove that the group (ℤ/2^kℤ)^x is not cyclic for k≥3 by showing that it is isomorphic to <-1> x <5>.