Patterning - Rule from Equation for Geometric Pattern (Level 1)

This math topic focuses on finding rules for geometric patterns from given equations. Each question presents an equation detailing an arithmetic sequence, and students are tasked with identifying the correct mathematical rule that describes how the pattern progresses, such as starting with a specific number and repeatedly multiplying or adding a constant to each subsequent term. Options include various rules of multiplication, addition, or subtraction applied to a starting number, challenging students to critically analyze and determine the pattern's progression correctly.

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

Patterning - Rule from Equation for Geometric Pattern Worksheet

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

1

Find the rule that describes this pattern equation

a

Start at 3 and add 2 for each term

b

Start at 7 and multiply by 2 for each term

c

Start at 3 and multiply by 6 for each term

d

Start with 3 and 5. Add the prior two terms for each subsequent term

e

Start at 3 and subtract 2 for each term

f

Start at 3 and multiply by 2 for each term

2

Find the rule that describes this pattern equation

a

Start at 7 and multiply by 5 for each term

b

Start with 3 and 8. Add the prior two terms for each subsequent term

c

Start at 3 and add 5 for each term

d

Start at 3 and multiply by 3 for each term

e

Start at 3 and subtract 5 for each term

f

Start at 3 and multiply by 5 for each term

3

Find the rule that describes this pattern equation

a

Start at 3 and multiply by 4 for each term

b

Start at 2 and multiply by 4 for each term

c

Start with 2 and 6. Add the prior two terms for each subsequent term

d

Start at -1 and multiply by 4 for each term

e

Start at 2 and subtract 4 for each term

f

Start at 6 and multiply by 4 for each term

4

Find the rule that describes this pattern equation

a

Start at -3 and multiply by 4 for each term

b

Start at 1 and subtract 4 for each term

c

Start at 0 and multiply by 4 for each term

d

Start at 2 and multiply by 4 for each term

e

Start at 1 and add 4 for each term

f

Start at 1 and multiply by 4 for each term

5

Find the rule that describes this pattern equation

a

Start at 1 and multiply by -1 for each term

b

Start at -1 and multiply by 3 for each term

c

Start at 1 and multiply by 1 for each term

d

Start at 1 and multiply by 3 for each term

e

Start at 0 and multiply by 3 for each term

f

Start at 1 and subtract 3 for each term

6

Find the rule that describes this pattern equation

a

Start at 1 and multiply by 0 for each term

b

Start at 1 and multiply by 2 for each term

c

Start at 3 and multiply by 2 for each term

d

Start at 1 and multiply by 6 for each term

e

Start with 1 and 3. Add the prior two terms for each subsequent term

f

Start at 1 and subtract 2 for each term

7

Find the rule that describes this pattern equation

a

Start at 0 and multiply by 5 for each term

b

Start with 2 and 7. Add the prior two terms for each subsequent term

c

Start at 2 and multiply by 8 for each term

d

Start at 2 and multiply by 5 for each term

e

Start at 2 and subtract 5 for each term

f

Start at 2 and add 5 for each term