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Series

★★★☆☆High School

📖Definition

The sum of terms in a sequence, which can be finite or infinite.

∑_k=1ⁿ aₖ = a₁ + a₂ + ... + aₙ

Finite series (sigma notation)

∑_k=1ⁿ k = (n(n+1))/(2)

Sum of natural numbers

∑_k=1ⁿ k² = (n(n+1)(2n+1))/(6)

Sum of squares

∑_k=1ⁿ k³ = ( (n(n+1))/(2) )²

Sum of cubes

예제 1★☆☆☆☆

Calculate Σ(k=1 to 10) k.

예제 2★★☆☆☆

Calculate Σ(k=1 to 5) k².

Taylor series, Fourier series

Wave analysis

Algorithm analysis

#algebra#series#summation#advanced