Algebra

Geometric Series

Sum of finite geometric series

Visual Preview

k = 0 \sum n a r^{k} = a \frac{1 - r ^{n + 1}}{1 - r}, r \neq = 1

\sum_{k=0}^{n} ar^k = a\frac{1-r^{n+1}}{1-r}, \quad r \neq 1

Solution to quadratic equations ax² + bx + c = 0

Expansion of (x+y)ⁿ

Factorization of difference of two squares