Alternate proof to induction for integer sum | Precalculus | Khan Academy

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Another way to prove the expression for the sum of all positive integers up to and including n

Watch the next lesson: https://www.khanacademy.org/math/precalculus/seq_induction/seq_and_series/v/explicit-and-recursive-definitions-of-sequences?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

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https://www.khanacademy.org/math/precalculus/seq_induction/proof_by_induction/v/proof-by-induction?utm_source=YT&utm_medium=Desc&utm_campaign=Precalculus

Precalculus on Khan Academy: You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn't mean anything unless you have some knowledge of what calculus is. Let's keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore....precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen....an introduction to precalculus!

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