MA 141 Study Guide - Final Guide: Glassbridge Enterprises, Riemann Sum, Natural Number
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To develop the notion of a de nite integral, we will need a special notation for long sums. This is called summation notation. ai = a1 + a2 + . The capital greek letter is the symbol for sum and the symbol ai represents the ith element in the summation. The letter i is called the index of summation. This sum starts at i = 1 and goes up to n. not all sums start at 1 and other letters could be used for the index of summation. 3i = 3(1) + 3(2) + 3(3) + 3(4) + 3(5) + 3(6) Algebra of summation: let n be a natural number, ai and bi be real numbers for i from. 1 to n, and c r. then ai bi n. Xi=1 (ai bi) = c ai = c n n. Ex: evaluate the sum (2j 2 + 3).
