Add new file

Grade 10/Math/MCR3U7/Unit 2: Sequences, Series, and Financial Applications.md

@@ -0,0 +1,29 @@
+# Unit 2: Sequences, Series, and Finicial Applications
+
+
+## Terms
+**sequence**: is an ordered set of numbres.
+
+**Arithmetic Sequences**: is a sequence where the difference between each term is constant, and the constant is known as the `common difference`.
+
+**Geometric Sequences**: is a sequence in which the ratio between each term is constant, and the constant is known as the `common ratio`.
+
+**Note:** Not all sequences are arithmetic and geometric!
+
+**finite series**: finite series have a **finite** number of terms.
+- eg. $`1 + 2 + 3 + \cdots + 10`$.
+
+**infinite series**: infinite series have **infinite** number of terms.
+- eg. $`1 + 2 + 3 + \cdots`$
+
+Terms in a sequence are numbered with subscripts: $~t_1, t_2, t_3, \cdots t_n`$ where $`t_n`$is the general or $`n^{th}`$ term.
+
+
+## Recursion Formula
+
+A sequence is defined recursively if you have to calculate a term in a sequence from previous terms. The recursion formula consist of 2 parts.
+
+1. Base term(s)
+2. A formula to calculate each successive term.
+
+eg. $`t_1 = 1, t_n = t_{n-1} + 1 \text{ for } n \ge 1`$