Pattern Rules
What is 52
Create a pattern where each number is 3 more than double the previous number, starting at 1.
What is 1, 5, 13, 29, 61
100, 90, 81, 73..
What is Subtract 10, subtract 9, subtract 8, etc. (decrease by 1 less each time)
81, 72, 63, 54, 45, ...
What is 36, 27, 18, 9, 0 (subtract 9 each time)
A group of friends are riding an elevator in a tall building. The elevator starts at the ground floor (level 0). Each time the elevator goes up, it increases by 3 floors. However, every third time the elevator goes up, it stops to pick up more people, and instead of going up 3 floors, it goes up 4 floors.
What floor is the elevator on after the 6th ride?
If the pattren continues, what floor will the elevator be on after the 9th ride?
What is after 6 rides, the elevator is on the 20th floor.
What is After 9 rides, the elevator is on the 30th floor.
A pattern decreases by 3, then increases by 6, and repeats. If it starts at 10, what are the first six numbers?
What is 10, 7, 13, 10, 16, 13
Create a pattern starting at 10, adding 3 then doubling. (repeat add 10, double)
What is 10, 13, 26, 29, 58, 61, 122, 125, 250...
1, 4, 9, 16, 25, ...
What is Add odd numbers: +3, +5, +7, +9
1, 3, 7, 15, 31, 63
What is 127, 255, 511, 1023, 2047 (×2 +1 each time)
The pattern is:
2, 5, 10, 17, 26, ...What is the rule?
A) Add 2, then add 3, then add 4, repeat
B) Add 3, then add 5, then add 7, repeat
C) Add consecutive odd numbers (3, 5, 7, 9, ...)
D) Multiply by 2 and subtract 1
What is add consecutive odd numbers (3, 5, 7, 9, ...)
A pattern multiples by 6 then subtracts 4 each time. Starts at 1. What is the 5th term?
What is 1, 2, 8, 22, 260
Create a pattern where each term is triple the previous term minus 2. Start at 2.
What is 2, 4, 10, 28, 82
5, 15, 20, 60, 65, 195, 200, 600, ...
What is Multiply by 3, then add 5 then repeat.
2, 4, 12, 48, 240
1440, 10080, 80640, 725760, 7257600 (×2, ×3, ×4, ×5, ×6)
Samantha is stacking blocks.
Each level has 4 more blocks than the one before. Level 1 has 6 blocks. Level 2 has 10 blocks. Level 3 has 14 blocks. Level 4 has 18 blocks. How many blocks are in Level 7?
A) 26
B) 28
C) 30
D) 32
What is C --> 30
Pattern: 2, 10, 26, 50, 82, … What’s the rule?
What is Multiply by 2, then add 6
10, 26, 58
Create a pattern where each number is 3 more than twice the previous number. Start at 2.
What is 2 , 7, 17, 37, 77
1, 5, 13, 25, 41, ...
what is 61, 85, 113, 145, 181
Pattern rule: Add 4 more each time
8, 16, 8, 24, 12, 36, ...
What is Multiply by 2, then divide by 2.
24, 12, 36, 18, 54
Start at 3.
Rule: Add 4, then multiply by 2. What is the 4th term? Choices:
A) 18
B) 44
C) 92
D) 188
What is 168
Start: 3
Step 1: 3 + 4 = 7 → 7 × 2 = 14 (1st term)
Step 2: 14 + 4 = 18 → 18 × 2 = 36 (2nd term)
Step 3: 36 + 4 = 40 → 40 × 2 = 80 (3rd term)
Step 4: 80 + 4 = 84 → 84 × 2 = 168 (4th term)
A pattern multiplies by 7 then subtracts 6 each time. Starts at 2. What is the 5th term?
What is 2402
2 → (×7)–6 = 8
8 → (×7)–6 = 50
50 → (×7)–6 = 344
344 → (×7)–6 = 2402
Answer: 2402
Create a pattern using prime numbers, but skip every second prime. Start at 2.
What is 2, 5, 11, 17, 23
500, 250, 125, 62.5, 31.25, .
Divide by 2 each time
Samantha is growing a special kind of plant in her garden. Every day, the height of the plant changes following a specific pattern. On Day 1, the plant is 3 cm tall. Every day, the plant's height increases by multiplying by 2 and then adding 1 cm.
Find the height of the plant on Day 6.
What is the total growth of the plant from Day 1 to Day 6?
What is Height of the plant on Day 6 = 127 cm.
What is Growth from day 1 to 6 = 124 cm
Emma is on a road trip. She starts by driving 60 kilometers.
The pattern for her travel follows these steps:
→ Add 15 kilometers, then Multiply the distance by 2
How many kilometers will Emma have traveled after 6 changes to her trip?
Choices:
A)870
B)690
C)590
D)960
What is 690 KM
Start: 60 kilometers
Step 1 (Add 15): 60 + 15 = 75 kilometers
Step 2 (Multiply by 2): 75 × 2 = 150 kilometers
Step 3 (Add 15): 150 + 15 = 165 kilometers
Step 4 (Multiply by 2): 165 × 2 = 330 kilometers
Step 5 (Add 15): 330 + 15 = 345 kilometers
Step 6 (Multiply by 2): 345 × 2 = 690 kilometers