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That induction proof with divisibility

Difficulty
🌢🌢🌢
Paper
P1
IB Math course
AA HL
ID
11
Release on
February 18, 2025
Status
Typesetting in LaTeX
super:Link
Count # Pills
Deadline LaTeX editor
February 14, 2025
Files & media
LaTeX editor
K.S.
SEO?
Not started
Sent to LaTeX editor on
February 9, 2025
Exercise description

There are many types of induction proofs: ones that involve series, ones with differentiation, and also ones with divisibility (which tend to be the easiest of them all). Let's see if that is the case here and, most importantly, if you're able to solve it with ease. Enjoy!