How to find the nth rule for a linear sequence

Slides:

Advertisements

Similar presentations

Let’s repeat the ordinal numbers!

Advertisements

Multiplying matrices An animated example. (3 x 3)x (3 x 2)= (3 x 2) These must be the same, otherwise multiplication cannot be done Is multiplication.

Notes Over 11.3 Geometric Sequences

Bellwork:  Determine whether each of the following is Arithmetic (something was added each time), Geometric ( something was multiplied each time), or.

2-3 Geometric Sequences Definitions & Equations

Generating Number Sequences

Wednesday, March 7 How can we use arithmetic sequences and series?

Arithmetic Sequences Explicit Formula.

Finding an Inverse Function with a Table. Inverse Notation Original function Inverse function “Inverse of f(x)”

To find the nth term of a sequence

12.2 Arithmetic Sequences ©2001 by R. Villar All Rights Reserved.

Week 4 Warm Up ) Geometric or Arithmetic? -2, 4, -8, 16, -32, 64,…

Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

EXAMPLE 4 Solve equations using nth roots Solve the equation. a. 4x 5 = 128 Divide each side by 4. x5x5 32= Take fifth root of each side. x=  32 5 Simplify.

Algebra n th Term. Algebra When we are working to find the n th term we are looking to find patterns in number sequences.

Guitar Chords. G First finger 2nd fret, 5 th string. Second finger 3 rd fret, 6 th string. Third finger 3 rd fret, 1 st string.

Finite Differences The Key To Unlocking The Pattern.

In the first pass, the first two numbers are compared. The shuttle sort compares the numbers in pairs from left to right exchanging when necessary.

8-5 Ticket Out Geometric Sequences Obj: To be able to form geometric sequences and use formulas when describing geometric 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.

SEQUENCES. Learning Objectives Generate terms of a simple sequence, given a rule, finding a term from the previous term Generate terms of a simple sequence,

Arithmetic Sequences.

Whiteboardmaths.com © 2004 All rights reserved

Sequences and Series.

Arithmetic and Geometric Means

The sum of the first n terms of an arithmetic series is:

Sequences Saturday, 02 June 2018

Arithmetic Sequences and Series

Arithmetic Sequences and Series

Consecutive Integer Problems

Powers and Exponents.

Geometric Series.

4.7: Arithmetic sequences

Sequences Friday, 23 November 2018

Shuttle Sort Example 1st pass Comparisons: 1

Geometric Sequences Definitions & Equations

Geometric Sequences.

Which description shows the relationship between a

Nth term maths 06/12/2018.

4-7 Sequences and Functions

Closed Sequences.

Point Question Point Question Point Question Point Question

Linear sequences A linear sequence is a name for a list of numbers where the next number is found by adding or subtracting a constant number. Here is an.

First we need to draw a place table grid. Then write our number in it

Sequences The values in the range are called the terms of the sequence. Domain: …....n Range: a1 a2 a3 a4….. an A sequence can be specified by.

Progression of Text Levels Expected in Grades 1 - 5

On your whiteboards, show me…

tn= 3n + 2 5, 8, 11, 14, 17,………………..? Linear Number Sequences/Patterns

4n + 2 1st term = 4 × = 6 2nd term = 4 × = 10 3rd term

Arithmetic Sequences In an arithmetic sequence, the difference between consecutive terms is constant. The difference is called the common difference. To.

GEOMETRIC SEQUENCES Recognize and extend geometric sequences.

Learning Targets Students will be able to: Recognize and extend geometric sequences and find the nth term of a geometric sequence.

Arithmetic Sequence A sequence of terms that have a common difference between them.

Decision Maths Unit 7 Sorting Algorithms 3. Shell Sort.

SEQUENCES More free powerpoints at

Warm-Up Write the first five terms of an = 4n + 2 a1 = 4(1) + 2

(continuation of Lesson 3)

Sequences Wednesday, 22 May 2019

Shuttle Sort Example 1st pass Comparisons: 1

Arithmetic Sequence A sequence of terms that have a common difference between them.

Sequences and Series.

Arithmetic Sequence A sequence of terms that have a common difference (d) 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.

Relationships The first slide is a template for how students could set out their page. There are then 6 slides with questions on. The final slide shows.

GEOMETRIC SEQUENCES Recognize and extend geometric sequences.

Presentation transcript:

How to find the nth rule for a linear sequence 24/04/2019 D. Smith

Find the nth rule for this sequence: 5, 8, 11, 14, 17… Make a table with 5 columns and write the position of the terms – 1st 2nd 3rd 4th etc as the n numbers in the first column n 1 2 3 4 5 24/04/2019 D. Smith

Put the terms into the second column, 5, 8, 11, 14, 17… 2 8 3 11 4 14 17 6 24/04/2019 D. Smith

Find the difference between the terms 8 – 5 = 3 and write it in the third column 1 5 3 2 8 11 4 14 17 6 24/04/2019 D. Smith

Write the difference number multiplied by the n number in the fourth column Term Difference 3n 1 5 3 2 8 6 11 9 4 14 12 17 15 24/04/2019 D. Smith

Write the difference between the value of 3n and the term in the fifth column 1 5 3 2 8 6 11 9 4 14 12 17 15 24/04/2019 D. Smith

The nth rule is: Term = 3n + 2 24/04/2019 D. Smith