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THE BEST CLASS EVER…ERRR…. PRE-CALCULUS Chapter 13 Final Exam Review
Chapter 13 Previous Lesson Materials
What was Chapter 13 about? Sequences Arithmetic Geometric Recursive Series Finite Arithmetic Finite Geometric Infinite Geometric Sigma Notation
Sequences - Arithmetic
Arithmetic Sequence- Example Write a rule for the nth term of the arithmetic sequence: a 5 = 18, a 17 = 66 a n = 4n – 2
Sequences - Geometric
Geometric Sequence- Example Write a rule for the nth term of the geometric sequence: a 2 = 6, a 5 = 162
Sequences - Recursive
Recursive Sequence- Example Write a recursive definition for the following sequences: a) 9, 13, 17, 21, …b) 1, 3, 7, 13, 21, 31, … a) t n = t n-1 + 4b) t n = t n-1 + 2(n-1)
Series – Finite Arithmetic
Series – Finite Geometric
Finite Series- Example #1 Find the sum of the first 15 terms of the geometric series: 5 – 15 + 45 – 135 + … S 15 = 179, 936, 135
Finite Series- Example #2 Find n if S n = -10,602 for the arithmetic series 12 + 6 + 0 + … n = 62
Series – Infinite Geometric
Infinite Series- Example Determine if the following infinite series diverges or converges. If it converges, state the sum. a) Diverges b) S = 2 a) b)
Series – Sigma Notation
Sigma Notation- Example What is the summation notation for the series 2 + 4 + 8 + 16?
Chapter 8 Vocabulary. Section 8.1 Vocabulary Sequences An infinite sequence is a function whose domain is the set of positive integers. The function.
The sum of the infinite and finite geometric sequence
Assignment Answers: Find the partial sum of the following: 1. = 250/2 ( ) = 218, = 101/2 (1/2 – 73/4) = Find the indicated n th.
Geometric Sequences and Series
Notes Over 11.3 Geometric Sequences
Arithmetic Sequences Section 4.5. Preparation for Algebra ll 22.0 Students find the general term and the sums of arithmetic series and of both finite.
9.2 Arithmetic Sequence and Partial Sum Common Difference Finite Sum.
Sequences and Series 13.3 The arithmetic sequence
Aim: What are the arithmetic series and geometric series? Do Now: Find the sum of each of the following sequences: a)
Sequences/Series BOMLA LACYMATH SUMMER Overview * In this unit, we’ll be introduced to some very unique ways of displaying patterns of numbers known.
Arithmetic Sequences and Series
Sequences and Series By: Olivia, Jon, Jordan, and Jaymie.
Geometric Sequences and Series Unit Practical Application “The company has been growing geometrically”
Copyright © 2011 Pearson Education, Inc. Slide Sequences A sequence is a function that has a set of natural numbers (positive integers) as.
Sequences Definition - A function whose domain is the set of all positive integers. Finite Sequence - finite number of values or elements Infinite Sequence.
SEQUENCES AND SERIES Arithmetic. Definition A series is an indicated sum of the terms of a sequence. Finite Sequence: 2, 6, 10, 14 Finite Series:2.
Arithmetic Sequence Chapter 2, lesson C. IB standard Students should know Arithmetic sequence and series; sum of finite arithmetic series; geometric sequences.
ADVANCED ALG/TRIG Chapter 11 – Sequences and Series.
Notes Over 11.2 Arithmetic Sequences An arithmetic sequence has a common difference between consecutive terms. The sum of the first n terms of an arithmetic.
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