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education/math/MATH1220 (calc II)/Sequences.md

@@ -39,3 +39,12 @@ Remember, L'Hospital's rule states that:
 
 # Series
 Vocabulary: A **series** is another name for a sum of numbers. 
+
+## Properties
+You can break a series into *partial sums*:
+$$\sum_{n=1}^\infty a_n = a_1 + 1_2 + a_3 + ...$$
+Given the above series, we can define the following:
+- $S_1 = a_1 = \sum_{i=1}^\infty a_i$
+- $S_2 = a_1 + a_2 = \sum_{i=1}^2 a_i$ 
+- $S_n = a_1 + a_2 + ... = \sum_{i=1}^n a_i$
+-