Download presentation

Presentation is loading. Please wait.

Published byAlexandre Shirer Modified over 2 years ago

1
C1 Chapter 6 Arithmetic Series Dr J Frost (jfrost@tiffin.kingston.sch.uk) Last modified: 7 th October 2013

2
Types of sequences 2, 5, 8, 11, 14, … +3 This is a: Arithmetic Series ? Geometric Series ? 3, 6, 12, 24, 48, … ? ? 1, 1, 2, 3, 5, 8, … This is the Fibonacci Sequence. The terms follow a recurrence relation because each term can be generated using the previous ones. ?

3
The fundamentals of sequences The position. ? ? ? ? ? ? ? ?

4
Term-to-term and position-to-term ? ?

5
1 st Term2 nd Term3 rd Term... ??? ?

6
Find the requested term of the following sequences. 100 th term 50 th term 20 th term ??? ? ?? ? ? ?? ? ? ? ?

7
Exercises ? ? ? ? 1 2 3 4

8
The number of terms ? ? Add or subtract such that the numbers are now multiples of the common difference. Then divide.

9
The number of terms How many terms? (work out in your head!) 1 2 3 4 5 ? ? ? ? ?

10
? Let’s prove it! Find the sum of the first 30 terms of the following arithmetic sequences… 1 2 3 ? ? ?

11
?

12
Edexcel C1 Jan 2012 ? ? Exam Question

13
Exercise 6F Q1a, c, e, g Q2a, c Q5, Q6, 8, 10

14
What do these summations mean? ? ? ? This is commonly seen in exams.

15
? ??

16
More on recurrence relations There will occasionally be two series questions, one on nth term/sum of n terms, and the other on recurrence relations. Note that the sequence may not be arithmetic. Edexcel C1 May 2013 (Retracted) How would you say this in words? ? ? ? ?

17
More on recurrence relations Edexcel C1 Jan 2012 ? ? ?

Similar presentations

OK

If various terms of a sequence are formed by adding a fixed number to the previous term or the difference between two successive terms is a fixed number,

If various terms of a sequence are formed by adding a fixed number to the previous term or the difference between two successive terms is a fixed number,

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on limitation act india Ppt on france in french language Ppt on electric meter testing jobs Ppt on ball mill Ppt on second law of thermodynamics youtube Ppt on water resources free download Ppt on machine translation pdf Ppt on hindu religion song Ppt on data handling for class 8 cbse Ppt on computer information technology