Patterning - First Values from Rule for Geometric Pattern (Level 1)

This math topic focuses on developing skills in identifying the first values of geometric patterns according to a multiplication rule. Each problem presents a different multiplication rule starting from a specific number. Students must select the correct sequence that matches the pattern rule from multiple options. The skills practiced here include understanding and applying geometric growth rules to identify series of numbers that fit a specified multiplication pattern. The topic is structured to enhance proficiency in recognizing patterns and mathematical reasoning with progressively complex multipliers.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Patterning - First Values from Rule for Geometric Pattern Worksheet

Math worksheet on 'Patterning - First Values from Rule for Geometric Pattern (Level 1)'. Part of a broader unit on 'Patterns and Sums - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/

1

Start at 3 and multiply by 3 for each term

Choose the first values that this pattern rule would create

a

-1, -3, -9, -27, -81, -243

b

3, 6, 9, 12, 15, 18

c

3, 0, -3, -6, -9, -12

d

3, 9, 27, 81, 243, 729

e

0, 0, 0, 0, 0, 0

f

3, 6, 9, 15, 24, 39

2

Start at 2 and multiply by 3 for each term

Choose the first values that this pattern rule would create

a

2, 0, 0, 0, 0, 0

b

2, 4, 8, 16, 32, 64

c

2, 5, 7, 12, 19, 31

d

2, -1, -4, -7, -10, -13

e

2, 6, 18, 54, 162, 486

f

3, 9, 27, 81, 243, 729

3

Start at 2 and multiply by 5 for each term

Choose the first values that this pattern rule would create

a

4, 20, 100, 500

b

2, 7, 9, 16

c

2, -3, -8, -13

d

-2, -10, -50, -250

e

1, 5, 25, 125

f

2, 10, 50, 250

4

Start at 3 and multiply by 5 for each term

Choose the first values that this pattern rule would create

a

3, 15, 75, 375

b

3, 12, 48, 192

c

3, 24, 192, 1,536

d

3, -2, -7, -12

e

6, 30, 150, 750

f

3, 8, 13, 18

5

Start at 1 and multiply by 4 for each term

Choose the first values that this pattern rule would create

a

1, -3, -7, -11

b

1, 3, 9, 27

c

1, 6, 36, 216

d

1, 4, 16, 64

e

1, 0, 0, 0

f

1, 5, 6, 11

6

Start at 1 and multiply by 5 for each term

Choose the first values that this pattern rule would create

a

1, 6, 7, 13

b

1, 8, 64, 512

c

1, 5, 25, 125

d

1, 6, 11, 16

e

4, 20, 100, 500

f

1, -4, -9, -14

7

Start at 1 and multiply by 3 for each term

Choose the first values that this pattern rule would create

a

1, 3, 9, 27, 81, 243

b

1, -1, 1, -1, 1, -1

c

1, -2, -5, -8, -11, -14

d

1, 7, 49, 343, 2,401, 16,807

e

1, 0, 0, 0, 0, 0

f

1, 4, 7, 10, 13, 16