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Patterning

Rule from Equation for Decreasing Arithmetic Pattern (Level 1)

This math topic focuses on identifying rules from equations for decreasing arithmetic patterns. The problems present various arithmetic sequences in the form of algebraic expressions and ask students to determine the correct rule that describes the sequence. Each problem offers multiple choice answers which involve subtraction or operations that modify the starting term to identify how each term in the sequence is derived from the previous one. This allows learners to practice and develop their skills in recognizing patterns, understanding arithmetic operations in sequences, and applying algebraic knowledge to practical problems.

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

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Patterning - Rule from Equation for Decreasing Arithmetic Pattern Worksheet

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Patterning - Rule from Equation for Decreasing Arithmetic Pattern
1
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 17 - 4(n-1)
a
Start at 18 and subtract 4 for each term
b
Start at 17 and add 4 for each term
c
Start at 16 and subtract 4 for each term
d
Start at 17 and subtract 0 for each term
e
Start at 17 and subtract 4 for each term
f
Start with 17 and 21. Add the prior two terms for each subsequent term
2
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 26 - 6(n-1)
a
Start at 29 and subtract 6 for each term
b
Start at 26 and add 6 for each term
c
Start at 26 and multiply by 6 for each term
d
Start at 26 and subtract 3 for each term
e
Start at 26 and subtract 7 for each term
f
Start at 26 and subtract 6 for each term
3
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 17 - 3(n-1)
a
Start at 17 and subtract 3 for each term
b
Start at 17 and subtract 5 for each term
c
Start at 15 and subtract 3 for each term
d
Start at 17 and add 3 for each term
e
Start with 17 and 20. Add the prior two terms for each subsequent term
f
Start at 19 and subtract 3 for each term
4
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 13 - 3(n-1)
a
Start at 13 and subtract 2 for each term
b
Start at 13 and subtract 0 for each term
c
Start at 16 and subtract 3 for each term
d
Start at 13 and subtract 3 for each term
e
Start at 13 and add 3 for each term
f
Start at 13 and subtract 1 for each term
5
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 23 - 4(n-1)
a
Start at 23 and subtract 4 for each term
b
Start at 19 and subtract 4 for each term
c
Start at 23 and subtract 5 for each term
d
Start at 23 and add 4 for each term
e
Start at 23 and subtract 1 for each term
f
Start at 26 and subtract 4 for each term
6
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 28 - 5(n-1)
a
Start at 24 and subtract 5 for each term
b
Start at 28 and subtract 4 for each term
c
Start at 28 and add 5 for each term
d
Start with 28 and 33. Add the prior two terms for each subsequent term
e
Start at 28 and subtract 6 for each term
f
Start at 28 and subtract 5 for each term
7
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 23 - 5(n-1)
a
Start with 23 and 28. Add the prior two terms for each subsequent term
b
Start at 23 and subtract 3 for each term
c
Start at 23 and subtract 5 for each term
d
Start at 23 and multiply by 5 for each term
e
Start at 20 and subtract 5 for each term
f
Start at 23 and add 5 for each term
8
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 11 - 2(n-1)
a
Start at 11 and add 2 for each term
b
Start at 11 and subtract 5 for each term
c
Start at 7 and subtract 2 for each term
d
Start with 11 and 13. Add the prior two terms for each subsequent term
e
Start at 11 and subtract 2 for each term
f
Start at 11 and subtract 0 for each term