Sum of first n cubes — AMC & AIME Practice Problems

Sum of first n cubes — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses sum of first n cubes — a algebra concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AIME

2020 AIME II Problem 10

More algebra concepts

absolute value ages algebraic manipulation AM-GM Inequality arithmetic sequence binomial theorem calculus Cauchy-Schwarz Inequality completing the square complex number custom operation De Moivre’s Theorem determinant difference of squares factoring Fibonacci floor and ceiling functions function functional equation geometric sequence inequality linear equation logarithm matrix mixture Newton’s Sums partial fractions polynomial quadratic radical rational equation rationalizing denominator recursion roots of unity Simon’s Favorite Factoring Trick slope substitution sum and difference of cubes sum of first n odd numbers sum of first n squares summation symmetry (algebra)system of equations telescoping Vieta’s Formulas