"It's like a brain gym"
"Best app to study!!!"
The principle of mathematical induction (which is usually just called "induction") is a fundamental proof technique. It's one of the finest tools you can reach for when you're proving statements true for "all positive integers \(n\)".
Let's say you have a statement \(P(n)\) that depends on a positive integer \(n\) and you have to prove that this statement holds for all positive integers \(n\). How do you do that?
At first you prove that \(P(1)\) is true. In other words, you show that the statement holds when \(n=1\).
Then you show that if the ...
SAT® and AP® are registered trademarks of the College Board, which was not involved in the production of, and does not endorse, this product. ACT® is a registered trademark of ACT, Inc.