In Advanced Math we proved one of the first couple of these formulas using a proof by mathematical induction. Now it might be a nice exercise to see if some of the more complex formulas can also be proved by mathematical induction.
Monday, February 24, 2014
Awesome Summation Formulas
In AP Calculus we were discussing summation formulas such as the summation of i for i = 1 to i = n. Readily available short cut formulas exist for the summation of i, i^2, and i^3. One of my students (Robert Wilt) was curious to see if formulas exist for larger exponents. His intellectual curiosity produced the following result. Awesome!
In Advanced Math we proved one of the first couple of these formulas using a proof by mathematical induction. Now it might be a nice exercise to see if some of the more complex formulas can also be proved by mathematical induction.
In Advanced Math we proved one of the first couple of these formulas using a proof by mathematical induction. Now it might be a nice exercise to see if some of the more complex formulas can also be proved by mathematical induction.
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