![PRE-CALCULUS 20 – CHAPTER 1 – FORMULA SHEET
ARITHMETIC SEQUENCE: 𝑡 𝑛 = 𝑡1 + ( 𝑛 − 1) 𝑑
ARITHMETIC SERIES: 𝑆 𝑛 =
𝑛
2
[2𝑡1 + ( 𝑛 − 1) 𝑑]
𝑆 𝑛 =
𝑛
2
[ 𝑡1 + 𝑡 𝑛]
GEOMETRIC SEQUENCE: 𝑡 𝑛 = 𝑡1 𝑟 𝑛−1
GEOMETRIC SERIES: 𝑆 𝑛 =
𝑡1 (𝑟 𝑛−1)
𝑟−1
𝑆 𝑛 =
𝑟𝑡 𝑛− 𝑡1
𝑟−1
𝑆∞ =
𝑡1
1−𝑟](https://image.slidesharecdn.com/chapter1formulasheetforexam-180913213743/85/Mrs-Sack-s-Pre-Calculus-20-Chapter-1-formula-sheet-for-exam-1-320.jpg)
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Mrs. Sack's Pre-Calculus 20 Chapter 1 formula sheet (for exam)
- 1. PRE-CALCULUS 20 – CHAPTER 1 – FORMULA SHEET ARITHMETIC SEQUENCE: 𝑡 𝑛 = 𝑡1 + ( 𝑛 − 1) 𝑑 ARITHMETIC SERIES: 𝑆 𝑛 = 𝑛 2 [2𝑡1 + ( 𝑛 − 1) 𝑑] 𝑆 𝑛 = 𝑛 2 [ 𝑡1 + 𝑡 𝑛] GEOMETRIC SEQUENCE: 𝑡 𝑛 = 𝑡1 𝑟 𝑛−1 GEOMETRIC SERIES: 𝑆 𝑛 = 𝑡1 (𝑟 𝑛−1) 𝑟−1 𝑆 𝑛 = 𝑟𝑡 𝑛− 𝑡1 𝑟−1 𝑆∞ = 𝑡1 1−𝑟