Finding the nth term, Un Example

Slides:

Advertisements

Similar presentations

Arithmetic Sequences and Series Unit Definition Arithmetic Sequences – A sequence in which the difference between successive terms is a constant.

Advertisements

Warm Up Find the geometric mean of 49 and 81..

Warm Up Find the nth term of the sequence 3, 6, 9, 12, … (Hint: what is the pattern?) Find the 11 th term.

Arithmetic Sequences Finding the nth Term. Arithmetic Sequences A pattern where all numbers are related by the same common difference. The common difference.

4.7 Arithmetic Sequences A sequence is a set of numbers in a specific order. The numbers in the sequence are called terms. If the difference between successive.

Notes Over 11.3 Geometric Sequences

Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.

Geometric Sequences and Series

Section 7.2 Arithmetic Sequences Arithmetic Sequence Finding the nth term of an Arithmetic Sequence.

Sullivan Algebra and Trigonometry: Section 13.2 Objectives of this Section Determine If a Sequence Is Arithmetic Find a Formula for an Arithmetic Sequence.

Arithmetic Sequences 3, 7, 11, 15… +4. 3, 7, 11, 15… +4 Common difference is +4. If there is a constant common difference, the sequence is an Arithmetic.

FLOWERBEDS Here are four flowerbeds surrounded by slabs How many slabs would you need for 100 flowerbeds?

Formula? Unit?.  Formula ?  Unit?  Formula?  Unit?

OBJ: • Find terms of arithmetic sequences

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.

Gee, I wish I could use my TI – 83!. For each of the following sequences, determine the common difference and the level at which it occurs , 0,

Sequences, Series, and Sigma Notation. Find the next four terms of the following sequences 2, 7, 12, 17, … 2, 5, 10, 17, … 32, 16, 8, 4, …

Arithmetic and Geometric Sequences Finding the nth Term 2,4,6,8,10,…

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

FLOWERBEDS Here are four flowerbeds surrounded by slabs How many slabs would you need for 100 flowerbeds?

Chapter 11 Sequences and Series

Suppose a sequence begins 2, 4, …………………. Would could the formula be?

+ 8.4 – Geometric Sequences. + Geometric Sequences A sequence is a sequence in which each term after the first is found by the previous term by a constant.

1. Geometric Sequence: Multiplying by a fixed value to get the next term of a sequence. i.e. 3, 6, 12, 24, ____, _____ (multiply by 2) 2. Arithmetic Sequence:

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.

Arithmetic Recursive and Explicit formulas I can write explicit and recursive formulas given a sequence. Day 2.

Number Patterns. Number patterns Key words: Pattern Sequence Rule Term Formula.

Recognize and extend arithmetic sequences

©2001 by R. Villar All Rights Reserved

11.2 Arithmetic Sequences.

Finding the n th term (generating formula)

11.3 Geometric sequences; Geometric Series

Sequences and Series.

Recapping: Writing with algebra

Sequences Objectives:

WARM UP State the pattern for each set.

SLOPE = = = The SLOPE of a line is There are four types of slopes

Geometric Sequences.

Warm Up 1. Find 3f(x) + 2g(x) 2. Find g(x) – f(x) 3. Find g(-2)

4-7 Sequences and Functions

Maths Unit 8 – Sequences Picture sequences Number sequences

9.3 Geometric Sequences and Series

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.

for a patterned sequence and use it to generate terms in that sequence

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.

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

Teacher's Notes Topic: Sequences Sequences

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.

EOC Practice Alex started a business making bracelets. She sold 30 bracelets the first month. Her goal is to sell 6 more bracelets each month than she.

Write the recursive and explicit formula for the following sequence

Interactive Notebook Setup

Warm up! Find the pattern for each set.

Classwork: Explicit & Recursive Definitions of

Homework: Explicit & Recursive Definitions of

Warm Up State the pattern for each step.

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

Questions over HW?.

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

Does each term increase/decrease by the same added amount each time?

Section 9.3 Arithmetic Sequences

Finding the nth term Example

12cm Area 64cm2 Area 100cm2 ? ? Area ?cm2 12cm Area 36cm2

Sequences Example This is a sequence of tile patterns.

12cm Area 64cm2 Area 100cm2 ? ? Area ?cm2 12cm Area 36cm2

Sequences Objectives:

Maths Unit 10 – Sequences Picture sequences Number sequences

Presentation transcript:

Finding the nth term, Un Example Find the nth term for the sequence 2, 4, 6, 8, ……

Example Find the nth term for the sequence 1, 3, 5, 7, 9, ……

Example Find the nth term for the sequence 5, 8, 11, 14, ……

Example Find the nth term for the sequence 2, 8, 14, 20, ……

Example Find the nth term for each of the following sequences 3, 6, 9, 12, … 2, 3, 4, 5, … 4, 8, 12, 16, …. 7, 9, 11, 13, … 18, 22, 26, 30, … 6, 11, 16, 21, … 1, 9, 17, 25, … 16, 14, 12, 10, …

Example Find the nth term for the sequence 2×3, 3×4, 4×5, …

Example Find the nth term for the sequence 1 5 , 1 8 , 1 11 , 1 14 , …

Example Find the nth term for the sequence 1 3 , 2 5 , 3 7 , 4 9 , …

Example Here is a sequence made from match sticks. Diagram 1 Diagram 2 Diagram 3 Draw the next diagram in the sequence. Write down the number of sticks used in each of the first four diagrams. Write down a formula connecting the number of sticks used and the diagram number.