Day 94 Explicit and recursive form for sequences (day 2)

Slides:



Advertisements
Similar presentations
Introduction Geometric sequences are exponential functions that have a domain of consecutive positive integers. Geometric sequences can be represented.
Advertisements

Warm-up Finding Terms of a Sequence
A geometric sequence is a list of terms separated by a constant ratio, the number multiplied by each consecutive term in a geometric sequence. A geometric.
RECURSIVE PATTERNS WRITE A START VALUE… THEN WRITE THE PATTERN USING THE WORDS NOW AND NEXT: NEXT = NOW _________.
Notes Over 11.3 Geometric Sequences
A sequence is geometric if the ratios of consecutive terms are the same. That means if each term is found by multiplying the preceding term by the same.
11.3 – Geometric Sequences.
12.2: Analyze Arithmetic Sequences and Series HW: p (4, 10, 12, 14, 24, 26, 30, 34)
Chapter 8: Sequences and Series Lesson 1: Formulas for Sequences Mrs. Parziale.
Homework Questions. Number Patterns Find the next two terms, state a rule to describe the pattern. 1. 1, 3, 5, 7, 9… 2. 16, 32, 64… 3. 50, 45, 40, 35…
Patterns and Sequences
Homework Questions. Geometric Sequences In a geometric sequence, the ratio between consecutive terms is constant. This ratio is called the common ratio.
Homework Questions. Number Patterns Find the next two terms, state a rule to describe the pattern. 1. 1, 3, 5, 7, 9… 2. 16, 32, 64… 3. 50, 45, 40, 35…
13.4 Geometric Sequences and Series Example:3, 6, 12, 24, … This sequence is geometric. r is the common ratio r = 2.
Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.
Algebra II Chapter : Use Recursive Rules with Sequences and Functions HW: p (4, 10, 14, 18, 20, 34)
12.2, 12.3: Analyze Arithmetic and Geometric Sequences HW: p (4, 10, 12, 18, 24, 36, 50) p (12, 16, 24, 28, 36, 42, 60)
11.2 & 11.3: Sequences What is now proven was once only imagined. William Blake.
+ Lesson 3B: Geometric Sequences + Ex 1: Can you find a pattern and use it to guess the next term? A) 3, 9, 27, … B) 28, 14, 7, 3.5,... C) 1, 4, 9, 16,...
Geometric Sequence Sequences and Series. Geometric Sequence A sequence is geometric if the ratios of consecutive terms are the same. 2, 8, 32, 128, 512,...
Lesson 11.4 Geometric Sequences. Warm Up ½ A geometric sequence is a sequence in which the ratio of successive terms is the same number, r, called.
Review Find the explicit formula for each arithmetic sequence.
4-7 Arithmetic Sequences
Patterns and Sequences
Day 68 Multi-step equations with tables and graphs
AKS 67 Analyze Arithmetic & Geometric Sequences
Arithmetic & Geometric Sequences
Introduction In this presentation, we are interested in summarizing the contents of day 26, 27 and 28 and examine ourselves how best we understood the.
Day 33 Reflection of graphs about the x- and y-axis
Day 33 Reflection of graphs about the x- and y-axis
Day 93 Explicit and recursive form for sequences (day 1)
Day 159 Systems of linear and quadratic equations
4.7: Arithmetic sequences
11.3 – Geometric Sequences.
Warm up Write the exponential function for each table. x y x
Day 152 Completing the square to find Maximum and minimum values
Geometric Sequences.
Coordinate Algebra Day 54
4-7 Sequences and Functions
Day 9 Translating functions From tables into graphs
Day 17 Classifying functions as linear, quadratic or exponential
Day 118 Operations on functions
Notes Over 11.5 Recursive Rules
Day 92 – Geometric sequences (day2)
Day 9 Translating functions From tables into graphs
Day 37 Beginner line of the best fit
Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.
Day 157 Quadratic application practice
Introduction In this presentation, we are interested in summarizing the contents of day 26, 27 and 28 and examine ourselves how best we understood the.
Day 89 Write an exponential function
Day 74 Inequalities problem solving
Introduction We have just discussed a few cases of exponential growth however, there are more other cases to be considered. For instance, situations.
Day 32 Stretching and Compressing graphs
Introduction We exhibit many situations involving exponential growth of functions. For instance, the increase in the amounts of investment is a case.
Day 14 UNDERSTANDING PATTERNS IN FUNCTIONS
Day 142 Understanding closure with polynomial
Day 73 Two variable inequalities
Introduction to Sequences
Day 24 Slopes, graphs and rate of change
Day 69 Literal equations.
Module 3 Arithmetic and Geometric Sequences
Write the recursive and explicit formula for the following sequence
Day 31 translating functions
Unit 3: Linear and Exponential Functions
Chapter 9.1 Introduction to Sequences
Warm-Up Study the patterns below to determine the next five numbers in each sequence. You may use the calculator to check your answers. 2, 4, 6, 8, 10...
Homework: Explicit & Recursive Definitions of
Module 3 Arithmetic and Geometric Sequences
4-7 Arithmetic Sequences
Arithmetic & Geometric Sequences
Presentation transcript:

Day 94 Explicit and recursive form for sequences (day 2)

Introduction Numerical sequences are number patterns that are best expressed in a more compact form for easy comprehension and handling. The most common forms are the usual listing, the use of recursive and the explicit form. In this presentation, we are going to use recursive and the explicit form of expressing geometric sequences to determine the next term(s) and the value of the nth terms in a geometric sequence.

Vocabulary: Recursive form of a sequence This is a form of representing a sequence where the rule shows the relationship between the consecutive terms Explicit form of a sequence This is a form where the general expression for any term (a general term in this case) is given This can be done in the notebooks or on vocabulary cards. Whatever system you use 

 

 

 

 

homework  

Answers to the homework  

THE END