This document presents information about patterns and sequences. It discusses how spotting patterns can help predict future terms and defines sequences as patterns of numbers. It provides examples of different patterns and sequences, showing the terms and noting the relationship between terms to determine the pattern. The purpose is to explain how to identify patterns and sequences in numbers and use them to predict future terms.

1. Patter ns
and
Sequence
s
Presented by Mr. BG NDLOVU
UNIVERSITY OF JOHANNESBURG
Email: bgndlovu1992@gmail.com
7 MARCH 2014

2. “Don’t make me read, make me understand “

3. Patterns
sequences
and
We often need to spot a pattern in order to predict
what will happen next.
In maths, the correct name for a pattern of numbers
is called a SEQUENCE.
The first number in a SEQUENCE is sometimes
called the FIRST TERM; the second is the SECOND
TERM and so on.

4. Patterns and sequences
For any pattern it is important to try to spot what
is happening before you can predict the next
number.
The first 2 or 3 numbers is rarely enough to
show the full pattern - 4 or 5 numbers are best.

5. Patterns and sequences
For any pattern it is important to try to spot what
is happening before you can predict the next
number.
1, 2, ……
What’s the next number?

6. Patterns and sequences
For any pattern it is important to try to spot what
is happening before you can predict the next
number.
1, 2, 4,…
Who thought that the next number was 3?
What comes next?

7. Patterns and sequences
For any pattern it is important to try to spot what
is happening before you can predict the next
number.
1, 2, 4, 8, 16, …
What comes next?

8. Patterns and sequences
Look at what is happening from 1 TERM to the
next. See if that is what is happening for every
TERM.
5,
+3
8,
12,
17,
23,
…,
…

9. Patterns and sequences
Look at what is happening from 1 TERM to the
next. See if that is what is happening for every
TERM.
5,
+3
8,
12,
+3
X
17,
23,
…,
…

10. Patterns and sequences
Look at what is happening from 1 TERM to the
next. See if that is what is happening for every
TERM.
5,
+3
8,
12,
+4
17,
23,
…,
…

11. Patterns and sequences
Look at what is happening from 1 TERM to the
next. See if that is what is happening for every
TERM.
5,
+3
8,
12,
+4
+5

17,
23,
…,
…

12. Patterns and sequences
Look at what is happening from 1 TERM to the
next. See if that is what is happening for every
TERM.
5,
+3
8,
12,
+4
+5
17,
+6

23,
…,
…

13. Example;
find 8th term in the
given sequence
1, 4, 9, 16, 25, 36, ….

14. Patterns and sequences
Look at what is happening from 1 TERM to the
next. See if that is what is happening for every
TERM.
5,
+3
8,
12,
+4
+5
17,
+6
23,
+7
30,
…

15. Patterns and sequences
Now try these patterns:
•3,
7,
11,
15,
19,
…,
…
•128,
64,
32,
16,
8,
…,
…
10,
1,
…,
…
135,
…,
…
•1000,
•5,
100,
15,
45,

16. Thanks

17. REFERENCE
Orlando C, posted on Aug 09,2013 ,
http://www.slideshare.net/scionwild/mnttarget02343621541328wwwmakemegeniuscomwebcontentuploadseducati
onpatterns-andsequences?qid=d21020f6-689d-40f1-8815-d79af62a8028&v=qf1&b=&from_search=2 , accessed 6
march 2014
Mustafa D, Jan 14, 2012,
http://www.slideshare.net/mstfdemirdag/sequences-and-series-11032997?qid=d21020f6-689d-40f1-8815-d79af62a8028&v=qf1&b=&f
, accessed 6 march 2014
Inma J, posted May 10, 2012,
http://www.slideshare.net/inmagoes/patterns-sequences?qid=d21020f6-689d-40f1-8815-d79af62a8028&v=qf1&b=&from_search=9
, accessed 6 march 2014