Generate the first 4 terms of a sequence with an nth term of…

Slides:



Advertisements
Similar presentations
11.3: Geometric Sequences & Series
Advertisements

Unit 5: Analytic Geometry
1 Precalculus Review 0.1 The Real Numbers and the Cartesian Plane 0.2 Functions 0.3 Geometric Properties of Functions 0.4 Linear Functions 0.5 Quadratic.
Linear, Exponential, and Quadratic Functions. Write an equation for the following sequences.
Notes Over 11.3 Geometric Sequences
 Find the next three terms in each sequence:  5, 15, 45, 135, _____, _____, _____  0.5, 2, 8, 32, _____, _____, _____  -32, 16, -8, 4, _____, _____,
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.
Section 11.2 Arithmetic Sequences IBTWW:
Pg. 417/425 Homework Pg. 395#43, 60 Pg. 589#1 – 8 all, 17, 18, 21, 22.
PATTERNS. There are 4 types of patterns : 1. Geometric 2. Linear 3. n th term 4. Quadratic.
Coordinate Algebra EOCT REVIEW
To find the nth term of a sequence
OBJ: • Find terms of arithmetic sequences
Warm Up State the pattern for each step.
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…
Unit 5 – Series, Sequences, and Limits Section 5.2 – Recursive Definitions Calculator Required.
COMMON CORE STANDARDS for MATHEMATICS FUNCTIONS: INTERPRETING FUNCTIONS (F-IF) F-IF3. Recognize that sequences are functions, sometimes defined recursively.
Pg. 417/425 Homework Pg. 395#43, 60 Find the “derivative” of y = sin x Pg. 589#1 – 8 all, 17, 18, 21, 22 #23 #85Graph #860 < Ɵ < π #87Ɵ = = 54.72°
Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.
Quadratic Sequences Write the first five terms for the following sequences according to its nth term 1)n 2 2)n ) n 2 + n 4) 2n 2 5) 2n )
ARITHMETIC SEQUENCES. SEQUENCE  What is a sequence?  “A list of things (usually numbers) that are in order.”  We are free to define what order that.
+ 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,...
May 1, 2012 Arithmetic and Geometric Sequences Warm-up: What is the difference between an arithmetic and geometric sequence? Write an example for each.
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,...
Honors Precalculus Day 3 Section 11.3 Geometric Sequences The end of new material…BOO!!! 3/12/2016.
Geometric Sequence – a sequence of terms in which a common ratio (r) between any two successive terms is the same. (aka: Geometric Progression) Section.
Level34567 Sequences I can draw the next two patterns in a sequence. I can work out what the next two terms (numbers) in a sequence will be. I can find.
Geometric and arithmetic sequences
Arithmetic Recursive and Explicit formulas I can write explicit and recursive formulas given a sequence. Day 2.
Sequences Learning Outcomes  I can Find the n th term for sequences.  I can use different methods to find the nth term and explore sequences  I can.
Recognize and extend arithmetic sequences
Sequences Arithmetic Sequence:
Quadratic Sequences Starter: 25/05/2018 n2 + 3n + 2 2n2 + 7n - 5
Arithmetic and Geometric Means
Sequence/Series 1. Find the nth term if, a1 = -1, d = 10, and n = 25 ________ 2. Find a12 for –17, -13, -9,... _________ 3. Find the missing terms in.
Sequences.
Finding the n th term (generating formula)
Geometric Sequences Part 1.
Work out the nth term for each section
Using Recursive Rules for Sequences
1.7 - Geometric sequences and series, and their
WARM UP State the pattern for each set.
I can draw the next two patterns in a simple sequence
Lesson 4.1: Identifying & Graphing Sequences Essential Question: What is a sequence and how are sequences and functions related?
Section 11.1 Sequences.
Coordinate Algebra Day 54
Number Patterns.
Sequences We use multi-link for the sequences activity.
4n + 2 1st term = 4 × = 6 2nd term = 4 × = 10 3rd term
The sequence of differences is: constant for a linear sequence,
Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.
Find the 25th term of the arithmetic sequence.
Arithmetic Sequence A sequence of terms that have a common difference between them.
Completing the Square.
Teacher's Notes Topic: Sequences Sequences
Introduction to Sequences
Sequences Tuesday, 30 April 2019.
How to find the nth rule for a linear sequence
The nth term, Un Example If we are given a formula for Un (th nth term) where find the first five terms of the sequence Un = 3n + 1.
Unit 3: Linear and Exponential Functions
Chapter 9.1 Introduction to Sequences
Geometric Sequences and series
Warm Up State the pattern for each step.
Quadratic Sequences L.O.
Arithmetic Sequence A sequence of terms that have a common difference between them.
Linear sequences A linear sequence is a list of numbers that have a common difference between each number in the list. Finding the rule that can extend.
Finding the nth term Example
Sequences – Linear & Quadratic – Demonstration
Linear Sequences Revision
a) I can work out the next two terms (numbers) in a sequence
Presentation transcript:

Generate the first 4 terms of a sequence with an nth term of…

Find the nth term of the sequences below…. 5, 8, 11, 14… 15, 12, 9, 6… -7, -11, -15, -19… -23, -18, -13, -8…

Generate the first 4 terms of a sequence with an nth term of…

Find the nth term of the sequences below…. 7, 11, 15, 19… -8, -10, -12, 14… 2, 5, 10, 17… 1, 3, 9, 27…

Find the missing terms in the LINEAR sequences below…. 11, 17, …, 29… …, 12, 20, 28… 4, …, …, 19… …, 3, …, 19…

Find the 50th term in the sequences below…. 7, 14, 21, 28… 4, 9, 14, 19… -8, -5, -2, 1… -11, -13, -15, 17…

What term in the sequence is 43? What term in the sequence is 701? The nth term is 8, 15, 22, 29…. What term in the sequence is 43? What term in the sequence is 701? What term in the sequence is 281? What term in the sequence is 246?

Label the following with either LINEAR, QUADRATIC or GEOMETRIC What the name of the sequence left over? 2, 6, 14, 26, 42… 2, 6, 18, 54, 162… 2, 6, 10, 14, 18… 2, 6, 8, 14, 22..

Linear Quadratic Fibonacci Geometric Write 4 term of a LINEAR, QUADRATIC, FIBONACCI and GEOMETRIC You must include a 2 and 5 in your sequences Linear Quadratic Fibonacci Geometric

If I pay fee and swim 5 times it costs £17 Find the 100th term in each sequence…. 7, …. , …. , …. , 19 A swim centre charges a membership fee then a charge for each time the pool is used. If I pay fee and swim 5 times it costs £17 If I pay fee and swim 11 times it costs £35 7th term is 53 29th term is 229 1st term is 8 51st term is 508