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pentagonal number
n(3n-1) / 2
triangular number
n(n+1) / 2
hexagonal number
n(2n - 1)
volume of tetrahedron
n³sqrt(2) / 12
area of ellipse
pi x ab, where a is the semi-major arc and b is the semi-minor arc
number of diagonals formula
n(n - 3) / 2
octagonal number
n(3n - 2) / 2
octahedral volume
sqrt(2) / 3 x a³
Simple Interest
PRT
Compound interest
P(1+r)^t