Sequences_Challenges
Оценка 4.6

Sequences_Challenges

Оценка 4.6
pdf
13.05.2020
Sequences_Challenges
Sequences_Challenges.pdf

Sequences Challenges

Write down the next two numbers in each of these sequences and write down your reasons?


2, 5, 8, 11, …, …

3, 8, 13, 18, …, …

1, 8, 15, 22, …, …

15, 8, 1, -6, …, …

1, 2, 4, 8, …, …

18, 14, 10, 6, …, …


Draw the next 4 diagrams and complete the table of results

Pattern number

1

2

3

4

5

Matches used

4

 

 

 

 

Complete these sequences and write down your reasons?


7, 10, …, …, …, 22

1, …, …, …, 17, 21

…, …, 10, …, 12, …

9, …, 21, …, 33, …

6, …, …, …, …, 26

…, 7, …, …, -8, …


How many matches needed for the 10th diagram?

Pattern number

1

2

3

4

5

Matches used

6

 

 

 

 

Plot the points (1,5)  (2,9) etc on a set of axes.  What do you notice and why does it happen?

Pattern number

1

2

3

4

5

6

7

Number

of sticks

5

9

13

17

21

25

29


Challenge 6

Complete the table below?

Shape

1st

2nd

3rd

4th

5th

20th

3 x table

3

 

 

 

 

 

No. of Cubes

4

7

10

13

16

 

How many chairs would you need if there were 50 tables?

Challenge 8

The 1st term of a sequence is 7 and the 5th term is 33.

What is the 60th term?

Write down the first 5 numbers in each of the sequences described below?

3n + 1

4n - 3

2n + 5 n + 3

12 – 3n

7n + 6

Challenge 10

Match the sequence with the formula?

-1, 4, 9, 14, …

8, 15, 22, 29, …

9, 13, 17, 21, …

5, 7, 9, 11, …

4n + 5

7n + 1

2n + 3

5n – 6


Challenge 11

Find the formula that gives the nth term

Term

1st

2nd

3rd

4th

5th

nth

 

2

8

14

20

26

 

 

 

7

12

17

22

27

 

 

 

9

11

13

15

17

 

 

 

-3

-2

-1

0

1

 

 

 

3

4

5

6

7

 

 

Challenge 12

Find the 2 formulas that give the number of matches needed for these patterns

Challenge 13

You are given one diagram in each of the 5 sequences below: work out how many squares, dots or matches in diagram 50

Diagram 3

Diagram 3

Diagram 2 Diagram 1

Challenge 14

Explore this further

Sequences Challenges

Sequences Challenges

Sequences_Challenges

Sequences_Challenges

Write down the next two numbers in each of these sequences and write down your reasons? 2, 5, 8, 11, …, … 3, 8, 13,…

Write down the next two numbers in each of these sequences and write down your reasons? 2, 5, 8, 11, …, … 3, 8, 13,…

Draw the next 4 diagrams and complete the table of results

Draw the next 4 diagrams and complete the table of results

Complete these sequences and write down your reasons? 7, 10, …, …, …, 22 1, …, …, …, 17, 21 …, …, 10, …, 12,…

Complete these sequences and write down your reasons? 7, 10, …, …, …, 22 1, …, …, …, 17, 21 …, …, 10, …, 12,…

How many matches needed for the 10 th diagram?

How many matches needed for the 10 th diagram?

Plot the points (1,5) (2,9) etc on a set of axes

Plot the points (1,5) (2,9) etc on a set of axes

Challenge 6 Complete the table below?

Challenge 6 Complete the table below?

No. of Cubes 4 7 10 13 16

No. of Cubes 4 7 10 13 16

Challenge 8 The 1 st term of a sequence is 7 and the 5 th term is 33

Challenge 8 The 1 st term of a sequence is 7 and the 5 th term is 33

Write down the first 5 numbers in each of the sequences described below? 3n + 1 4n - 3 2n + 5 n + 3…

Write down the first 5 numbers in each of the sequences described below? 3n + 1 4n - 3 2n + 5 n + 3…

-1, 4, 9, 14, … 8, 15, 22, 29, … 9, 13, 17, 21, … 5, 7, 9, 11, … 4n + 5 7n +…

-1, 4, 9, 14, … 8, 15, 22, 29, … 9, 13, 17, 21, … 5, 7, 9, 11, … 4n + 5 7n +…

Challenge 11 Find the formula that gives the nth term

Challenge 11 Find the formula that gives the nth term

Challenge 12 Find the 2 formulas that give the number of matches needed for these patterns

Challenge 12 Find the 2 formulas that give the number of matches needed for these patterns

Challenge 13 You are given one diagram in each of the 5 sequences below: work out how many squares, dots or matches in diagram 50

Challenge 13 You are given one diagram in each of the 5 sequences below: work out how many squares, dots or matches in diagram 50

Diagram 3

Diagram 3

Diagram 2 Diagram 1 Challenge 14

Diagram 2 Diagram 1 Challenge 14

Sequences_Challenges

Sequences_Challenges
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