🔍 Part 1: Identifying Pattern Rules

1. Look at this number pattern: 5, 8, 11, 14, 17, ...

What is the rule? Start with _____ and add _____ each time.

2. Complete this pattern using the rule "Start with 3 and add 7 each time":

3, _____, _____, _____, _____, 31

3. Which rule creates the pattern 12, 9, 6, 3, 0?

Start with 12 and add 3 each time

Start with 12 and subtract 3 each time

Start with 12 and multiply by 3 each time

Start with 12 and divide by 3 each time

4. Create the first 5 terms using the rule "Start with 4 and add 6 each time":

📊 Part 2: Pattern Tables and Position

5. Complete this table for the pattern "Start with 7 and add 4 each time":

Position (n)	1	2	3	4	5
Term	7	____	____	____	____

6. Look at this growing pattern made with squares:

Step 1: ■ (1 square)
Step 2: ■■■ (3 squares)
Step 3: ■■■■■ (5 squares)

How many squares will be in Step 5? _____

What is the rule? ________________________________________________

7. The pattern 2, 5, 8, 11, 14... can be written as the formula: Term = 2 + 3(n - 1)

Use this formula to find the 10th term:

8. Write an algebraic expression for the pattern "Start with 6 and add 5 each time":

Term = ________________________________

9. Real-world connection: A mobile phone plan costs $25 to start, then $15 per month.

a) Complete the pattern for total cost: $25, $40, $_____, $_____, $_____

b) Write the rule: Start with $_____ and add $_____ each time.

c) What would be the total cost after 8 months? $_____