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Sequences_Challenges.pdf
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 |
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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 |
Complete the table below?
|
Shape |
1st |
2nd |
3rd |
4th |
5th |
20th |
|
3 x table |
3 |
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|
No. of Cubes |
4 |
7 |
10 |
13 |
16 |
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How many chairs would you need if there were 50 tables?
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 |
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 |
Find the formula that gives the nth term
|
Term |
1st |
2nd |
3rd |
4th |
5th |
… |
nth |
|
|
2 |
8 |
14 |
20 |
26 |
|
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|
|
7 |
12 |
17 |
22 |
27 |
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|
|
9 |
11 |
13 |
15 |
17 |
|
|
|
|
-3 |
-2 |
-1 |
0 |
1 |
|
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|
|
3 |
4 |
5 |
6 |
7 |
|
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Find the 2 formulas that give the number of matches needed for these patterns
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
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