From 21af85f721a11252d936eb4cc10851909bc330a9 Mon Sep 17 00:00:00 2001 From: arc Date: Mon, 13 Oct 2025 16:05:57 -0600 Subject: [PATCH] vault backup: 2025-10-13 16:05:57 --- education/math/MATH1220 (calc II)/Sequences.md | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/education/math/MATH1220 (calc II)/Sequences.md b/education/math/MATH1220 (calc II)/Sequences.md index 53679a7..a2d6b1e 100644 --- a/education/math/MATH1220 (calc II)/Sequences.md +++ b/education/math/MATH1220 (calc II)/Sequences.md @@ -140,4 +140,6 @@ The behavior a given power series falls into one of three cases: # Examples > When does the series $\sum_{n=0}^\infty \frac{x^n}{3^n}$ converge? -1. Solving for power series will pretty much start with the ratio test. \ No newline at end of file +1. Solving for any power series usually starts with the ratio test. + 1. Create a ratio with $n + 1$ and $n$. + $$ \frac{x^{n+1}}{3^{n+1}} \cdot \frac{3^n}{x^n} $$ \ No newline at end of file