End of Stage 7 - Unit 9 Sequences

Term to Term Rules

100

Start with 3. Add 4 each time.

3, 7, 11, 15

200

First term is 10. Subtract 2 each time.

10,8, 6

300

First term is 2. Multiply by 2, then add 1 each time.

2, 5, 11

400

Start at 100, ÷2 and then x3

100,150, 225

500

Start at 5, ×3, −2, +4

5,17,53,161

Continue the sequence

100

4, 7, 10, 13, ___, ___

15,18

200

20, 18, 16, 14, ___, ___

12,10

300

2, 6, 18, ___, ___

54,162

400

1, 4, 9, 16, ___, ___

25,36

500

3, 8, 15, 24, ___, ___

35,48

Find the rule

100

5, 10, 15, 20, …

👉 What is the term-to-term rule?

+5

200

2, 4, 8, 16, …

👉 What is happening each time?

x2

300

30, 25, 20, 15, …

👉 Write the rule.

-5

400

1, 3, 6, 10, …

👉 Describe how the sequence grows.

👉 Add 2, then 3, then 4…

500

4, 9, 16, 25
What is the rule? 

Squared numbers or odd number

nth term

100

Sequence: 2, 4, 6, 8, …

👉 Write the nth term.

2n

200

5, 6, 7, 8, …

👉 Find the nth term.

n + 4 

300

3, 6, 9, 12

3n

400

5, 8, 11, 14

3n + 2

500

7, 12, 17, 22

5n + 2

Functions

100

Rule: ×3
Input: 4
👉 Output?

12

200

Rule: ÷2
Input: 20
👉 Output?

10

300

Rule: ×5 then −1
Input: 3
👉 Output?

14

400

Rule: +4, -1
Input: 12
👉 Output?

15

500

Rule: ×4 then +3
Input: 7
👉 Output?

31