# sequence

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Category: Education

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## Presentation Transcript

### BEAUTY IN NATURE :

BEAUTY IN NATURE Patterns in Nature

### Segments on a Circle :

Segments on a Circle

### SEQUENCE :

SEQUENCE Target: To find the next number in the sequence.

### Slide 7:

According to the dictionary, happen. Sequence is the order in which events happen.

### Slide 8:

Certain words can be sequence clues.

### Slide 9:

Time-Order Words first next then finally

### Slide 10:

Time-Order Expression in the morning after that later that day two weeks later

### What is a sequence? :

What is a sequence? It can be a pattern of : objects music Letters or numbers A sequence is a pattern. Mathematically speaking…

### Here is a sequence of objects :

Here is a sequence of objects Correct! It would be a mouse. What animal would come next in this sequence?

### Here is a sequence of sounds :

Here is a sequence of sounds What sound will come next in the sequence? Correct! It will be the cow mooing.

### Here is a sequence of letters. :

Here is a sequence of letters. What letter will come next in the sequence? Look carefully at the letters. a a b c a a b c a a b c a Correct! It‘s the letter a.

### Here is a sequence of numbers. :

Here is a sequence of numbers. What number is going to come next in this sequence? 0 2 4 6 8 10 12 14 16 Correct it is the number 18

### Decide what number should come next :

Decide what number should come next Look at all of the numbers in the sequence To find the next number in a number sequence: Put your number into the sequence and check that it looks correct Find the pattern TIP!

### and finish these number sequences. :

and finish these number sequences. Find the Number

### Look at the number sequences and see if you can work out the missing number. :

Look at the number sequences and see if you can work out the missing number.

### Find the number! :

Find the number! 1 3 5 7 9 13 15 17 It is the number 11. 11

### Find the number! :

Find the number! Correct! It is the number 15. 0 5 10 ____ 20 25 30 35 40 15

### Slide 21:

Find the number! Correct! It is the number 11. 17 15 13 ____ 9 7 5 11

### Slide 22:

Find the number! Correct! It is the number 55. 25 35 45 ___ 65 75 55

### Slide 23:

34 44 54 64 ___ 84 94 Now race on to the last number sequence. Find the number! Correct! The missing number is 74. 74

### You have to find all three missing numbers! :

You have to find all three missing numbers! 42 47 ___ 57 62 ___ 72 ___ 82 Solving this sequence is going to be a bit trickier. 52 67 77 The answers are: 52 67 and 77

Well Done!

### Each number in a sequence is what we call a TERM. :

Each number in a sequence is what we call a TERM. Example: 2 , 4 , 6 , 8 , 10 extremes means Name a term on the given example. Extremes are the 1st and last term Means are the terms between the 1st and last term

### Example: :

Example: Lets identify the means and extremes: 4 , 7 , 10 , 13 , 16 11 , 16 , 21 , 26 , 31

### Sequence could be finite or infinite.. :

Sequence could be finite or infinite.. 2 , 4 , 6 , 8 ,… 2 , 4 , 6 , 8 , 10 infinite finite no definite number of terms has a definite number of terms 4 , 7 , 10 , 13 , 16, . . . 4 , 7 , 10 , 13 , 16

### Identify if finite or infinite. :

Identify if finite or infinite. 3 , 7 , 11 , 15 , 19 22 , 25 , 28 , 31 , 34 , . . . 35 , 29 , 23 , 17 , 11

### Slide 30:

A sequence is a pattern. Lets try to identify their patterns. Give the next term of the sequence. 1) 1 , 4 , 9 , 16 , 25 , ___ Give the next 2 terms of the sequence. 2) 2 , 9 , 16 , 23 , 30 , ___ , ___ 36 37 44 Give the next 3 terms of the sequence. 3) 18 , 14 , 10 , 6 , 2 , ___ , ___ , __ 4) 49 , 44 , 39 , 34 , 29 , __ , __ , __ 5) 3 , 7 , 11 , 15 , __ , __ , __ 6) 3 , 6 , 9 , 12 , 15 , __ , __ , __ 7) 31 , 27 , 23 , 19 , 14 , __ , __ , __

### Slide 31:

A sequence is a pattern. Some set of numbers cannot be a sequence. Lets identify if the following are sequence or not. 1) 0 , 1 , 2 , 3 , 4 Sequence 2) 54 , 50 , 46 , 42 , ... Sequence 3) 13 , 20 , 27 , 42 , ... not

### Slide 32:

Answer on your quiz notebook Indicate whether the following is sequence or not, if sequence find the next 3 terms. 1) 5 , 10 , 15 , 20 2) 81 , 27 , 9 , 3 , 1 3) 9 , 11 , 15 , 20 4) 35 , 41 , 47 , 53 5) 43 , 36 , 29 , 22

### Term is what we called a number in a sequence. :

A sequence is a pattern of objects, music, letters or numbers Term is what we called a number in a sequence. Extremes are the 1st and last term Means are the terms between the 1st and last term Infinite Finite no definite number of terms has a definite number of terms

### Slide 34:

Assignment: Give the next three terms in the following sequence. Place in in a ¼ sheet of paper 81 , 27 , 9 , 3 , 1 , ... 10 , 15 , 20 , 25 , ... -18 , 11 , -4 , 3 , ...