of 13 /13
Sequences and series: Arithmetic series 8.1 Sequences LO: To be able to find the formula for the terms of a sequence

# Sequences and series: Arithmetic series · Sequences and series: Arithmetic series 8.1 Sequences LO: To be able to find the formula for the terms of a sequence . 8, 11, 14, 17, …

others

• View
29

0

Embed Size (px)

### Text of Sequences and series: Arithmetic series · Sequences and series: Arithmetic series 8.1 Sequences... Sequences and series:

Arithmetic series

8.1 Sequences

LO: To be able to find the formula for the terms of a sequence 8, 11, 14, 17, …

u1 = first term

u2 = second term…

Term-to-term rule (recurrence

relation – give first term in sequence and the

relationship between successive terms)

General term / nth term 5, 9, 13, 17, ….

Term-to-term rule

(recurrence relation)

General term / nth term 15, 12, 9, 6, ….

Term-to-term rule

(recurrence relation)

General term / nth term Ignore the signs – Find the nth term.

(-1)n = -1 when n is odd

(-1)n = +1 when n is even

Do the signs of the terms alternate?

2n(-1)n

1)1( n

,...8,6,4,2

1)1( n 1)1)(82( nn

,...16,14,12,10 1)1)(112( nn

,...3,5,7,9 If the numbers go up rapidly and are not

obviously being multiplied by the same

number, the nth term could contain a

square or a cube or a quadratic.

,...81,64,27,8,1

13 )1( nn ,...25,16,9,4,1

12 )1( nn ,...8,4,2,1

12 n

Look for powers of numbers nth term is given:

1. Find the first 4 terms

of the sequence.

nnx2

1

2. Which term in the

sequence is

3. Express the

sequence as a

recurrence relation

1024

1 A sequence is defined by a recurrence relation of

the form

Given that M1 = 10, M2 = 20, M3 = 24, find the value

of a and the value of b and hence find M4.

baMM nn 1 Page 133 Exercise 8A

Questions 1 a, c, e

2 a, b, c and 6 ##### 12.1 – Arithmetic Sequences and Series. An introduction………… Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic
Documents ##### Chapter 1 Sequences & Series - WordPress.com 1 Sequences & Series 1.1 Arithmetic Sequences p. 1 1.2 Arithmetic Series p. 5 1.3 Geometric Sequences p. 10 ... Pre-Calculus 11 Date: _____
Documents ##### Sequences and Series: Arithmetic Series - Physics & …pmt.physicsandmathstutor.com/download/Maths/A-level/C1...C1 Sequences and series – Arithmetic series C1 Sequences and series:
Documents ##### Arithmetic Sequences Class Work - NJCTLcontent.njctl.org/courses/math/pre-calculus/sequences-and-series-2/... · Arithmetic Sequences ... 74. 20, -10, 5, -2.5, … 75. -4, 5, -6.25,
Documents ##### Geometric Sequences and Series. Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic Series Sum of Terms
Documents ##### Lesson 9.2 Arithmetic Sequences Objectives and Series · 398 Chapter 9 Sequences and Series The arithmetic mean of two numbers is the average of the two numbers. arithmetic mean =
Documents ##### Arithmetic Sequences Class Work - NJCTLcontent.njctl.org/courses/math/pre-calculus/sequences... · 2014-11-11 · Pre-Calc Sequences & Series ~12~ NJCTL.org Sequences and Series Unit
Documents ##### Number 1 - Sequences & Series Worksheetcolaistebride.weebly.com/.../lchl_ul_number_1_sequences.pdf4 Arithmetic Series –Ex. 1 In the following arithmetic series: 3,7,11,15,… a)
Documents ##### Sequences and Series - NJCTLcontent.njctl.org/courses/math/pre-calculus/sequences... · 2015-12-04 · Arithmetic Series An arithmetic series is the sum of the terms in the arithmetic
Documents ##### 9.2 – Arithmetic Sequences and Series. An introduction………… Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic
Documents ##### Sequences and Series: Arithmetic Series - PMT...C1 Sequences and series – Arithmetic series C1 Sequences and series: Arithmetic series – Questions 2 1. A farmer has a pay scheme
Documents ##### Sequences and Series CHAPTER 1. Chapter 1: Sequences and Series 1.1 – ARITHMETIC SEQUENCES
Documents ##### 1. 2 Sequences and Series Arithmetic Sequences and Series Geometric Sequences and Series Counting Principles Probability 100 200 300 400 500
Documents ##### 8-1: Arithmetic Sequences and Series Unit 8: Sequences/Series/Statistics English Casbarro
Documents ##### Unit 8 Sequences and Series Arithmetic Sequences …...Unit 8 Sequences and Series – Arithmetic Sequences and Series Notes Objective 1: Be able to recognize and write the rules for
Documents ##### IB Studies Level Mathematics Arithmetic Sequences and Series
Documents ##### Chapter 5: Sequences and Series SeqSer Packet.pdfChapter 5: Sequences and Series 1. Sequences 2. Arithmetic and Geometric Sequences 3. Summation Notation 4. Arithmetic Series 5. Geometric
Documents Documents