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Sigma notation represents the sum of a series of terms.
∑k=mnak\sum_{k=m}^{n} a_k∑k=mnak represents the sum of terms.
The index of summation is denoted by kkk.
It equals 151515, the sum of the first 555 natural numbers.
It equals 30, which is 12+22+32+421^2 + 2^2 + 3^2 + 4^212+22+32+42.
Linearity allows sums to be split or factored with constants.
Shift using ∑j=m+cn+caj−c\sum_{j=m+c}^{n+c} a_{j-c}∑j=m+cn+caj−c for constant ccc.
The sum is 363636: 1+3+5+7+9+11=361 + 3 + 5 + 7 + 9 + 11 = 361+3+5+7+9+11=36.
The Greek letter Sigma (Σ\SigmaΣ) denotes summation.
Identify the general term aka_kak before summation.
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