Equation from Rule for Decreasing Arithmetic Pattern (Level 1)

This math topic focuses on the skills of formulating equations for a decreasing arithmetic pattern. Each problem on the topic presents a starting number and a rule for subtracting a constant value for each subsequent term. The task is to select the correct algebraic expression that represents this sequence pattern. These problems are useful for understanding arithmetic sequences, recognizing patterns, and translating them into equations. The worksheet is structured into multiple-choice questions, each offering various equations to choose from, enhancing both pattern recognition and algebraic thinking.

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

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Patterning - Equation from Rule for Decreasing Arithmetic Pattern Worksheet

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Patterning - Equation from Rule for Decreasing Arithmetic Pattern
1
Start at 27 and subtract 6 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 23 - 6(n-1)
b A LaTex expression showing a sub n = 27 - 6(n)
c A LaTex expression showing a sub n = 31 - 6(n-1)
d A LaTex expression showing a sub n = 27 + 6(n-1)
e A LaTex expression showing a sub n = 27 - 6(n-1)
f A LaTex expression showing a sub n = 27 multiplied by 6 to the power of n-1
2
Start at 28 and subtract 5 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 28 - 6(n-1)
b A LaTex expression showing a sub n = 28 - 8(n-1)
c A LaTex expression showing a sub n = 28 + 5(n-1)
d A LaTex expression showing a sub n = 28 - 5(n-1)
e A LaTex expression showing a sub n = 28 - 5(n)
f A LaTex expression showing a sub n = 28 multiplied by 5 to the power of n-1
3
Start at 12 and subtract 2 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 12 - 0(n-1)
b A LaTex expression showing a sub n = 12 multiplied by 2 to the power of n-1
c A LaTex expression showing a sub n = 8 - 2(n-1)
d A LaTex expression showing a sub n = 12 + 2(n-1)
e A LaTex expression showing a sub n = 15 - 2(n-1)
f A LaTex expression showing a sub n = 12 - 2(n-1)
4
Start at 18 and subtract 4 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = a sub n-2 + a sub n-1
b A LaTex expression showing a sub n = 18 + 4(n-1)
c A LaTex expression showing a sub n = 18 - 3(n-1)
d A LaTex expression showing a sub n = 18 - 4(n)
e A LaTex expression showing a sub n = 18 - 4(n-1)
f A LaTex expression showing a sub n = 18 - 5(n-1)
5
Start at 14 and subtract 3 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 14 - 2(n-1)
b A LaTex expression showing a sub n = 14 + 3(n-1)
c A LaTex expression showing a sub n = 15 - 3(n-1)
d A LaTex expression showing a sub n = 14 - 3(n-1)
e A LaTex expression showing a sub n = a sub n-2 + a sub n-1
f A LaTex expression showing a sub n = 14 multiplied by 3 to the power of n-1
6
Start at 31 and subtract 6 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 31 - 2(n-1)
b A LaTex expression showing a sub n = 31 + 6(n-1)
c A LaTex expression showing a sub n = 31 - 7(n-1)
d A LaTex expression showing a sub n = 31 - 6(n-1)
e A LaTex expression showing a sub n = 31 - 3(n-1)
f A LaTex expression showing a sub n = 31 - 6(n)
7
Start at 13 and subtract 3 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 13 - 3(n)
b A LaTex expression showing a sub n = 11 - 3(n-1)
c A LaTex expression showing a sub n = 13 - 3(n-1)
d A LaTex expression showing a sub n = 13 - 0(n-1)
e A LaTex expression showing a sub n = 13 multiplied by 3 to the power of n-1
f A LaTex expression showing a sub n = 13 - 5(n-1)
8
Start at 25 and subtract 6 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = a sub n-2 + a sub n-1
b A LaTex expression showing a sub n = 29 - 6(n-1)
c A LaTex expression showing a sub n = 25 + 6(n-1)
d A LaTex expression showing a sub n = 25 - 6(n-1)
e A LaTex expression showing a sub n = 27 - 6(n-1)
f A LaTex expression showing a sub n = 25 - 6(n)