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Patterning - 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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Equation from Rule for Decreasing Arithmetic Pattern

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the correct equation that this pattern rule describes

Start at 17 and subtract 4 for each term

Patterning - Equation from Rule for Decreasing Arithmetic Pattern Worksheet

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Math worksheet on 'Patterning - Equation from Rule for Decreasing Arithmetic Pattern (Level 1)'. Part of a broader unit on 'Patterns and Sums - Advanced' Learn online: app.mobius.academy/math/units/patterns_and_sums_advanced/
1
Start at 32 and subtract 6 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 32 + 6(n-1)
b A LaTex expression showing a sub n = 32 - 9(n-1)
c A LaTex expression showing a sub n = 32 - 8(n-1)
d A LaTex expression showing a sub n = 32 - 6(n)
e A LaTex expression showing a sub n = a sub n-2 + a sub n-1
f A LaTex expression showing a sub n = 32 - 6(n-1)
2
Start at 22 and subtract 5 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 = 20 - 5(n-1)
c A LaTex expression showing a sub n = 19 - 5(n-1)
d A LaTex expression showing a sub n = 22 - 5(n)
e A LaTex expression showing a sub n = 22 + 5(n-1)
f A LaTex expression showing a sub n = 22 - 5(n-1)
3
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 = 18 - 4(n)
b A LaTex expression showing a sub n = 18 - 3(n-1)
c A LaTex expression showing a sub n = a sub n-2 + a sub n-1
d A LaTex expression showing a sub n = 18 + 4(n-1)
e A LaTex expression showing a sub n = 18 - 5(n-1)
f A LaTex expression showing a sub n = 18 - 4(n-1)
4
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 - 3(n-1)
b A LaTex expression showing a sub n = 14 - 2(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
5
Start at 22 and subtract 4 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 23 - 4(n-1)
b A LaTex expression showing a sub n = 22 - 4(n)
c A LaTex expression showing a sub n = 22 - 4(n-1)
d A LaTex expression showing a sub n = 22 + 4(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 = 22 - 2(n-1)
6
Start at 16 and subtract 3 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 16 - 6(n-1)
b A LaTex expression showing a sub n = 16 multiplied by 3 to the power of n-1
c A LaTex expression showing a sub n = 16 - 3(n-1)
d A LaTex expression showing a sub n = 16 - 0(n-1)
e A LaTex expression showing a sub n = 16 - 7(n-1)
f A LaTex expression showing a sub n = 16 - 3(n)
7
Start at 23 and subtract 5 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 23 - 3(n-1)
b A LaTex expression showing a sub n = 23 - 5(n)
c A LaTex expression showing a sub n = 23 - 5(n-1)
d A LaTex expression showing a sub n = a sub n-2 + a sub n-1
e A LaTex expression showing a sub n = 23 multiplied by 5 to the power of n-1
f A LaTex expression showing a sub n = 23 - 1(n-1)