SigmaNotation
Sigma notation, denoted by the Greek capital letter Sigma (∑), is a concise convention for expressing the sum of a sequence of terms. The general form is ∑_{i=m}^{n} f(i), which signifies the sum of f(i) as i runs from i = m to i = n. When the lower bound is 1 and the upper bound is n, it often appears as ∑_{i=1}^{n} f(i).
Examples help illustrate its use. The sum of the first n integers is written as ∑_{i=1}^{n} i
Key properties include linearity and re-indexing. Linearity states that ∑ (a_i + b_i) = ∑ a_i + ∑ b_i and ∑ c a_i
Sigma notation is widely used across mathematics and related fields. It underpins calculations in calculus, probability,