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Patterning - Equation from Rule for Increasing Arithmetic Pattern (Level 1)

This math topic focuses on developing skills in formulating equations from given rules for increasing arithmetic patterns. It covers the ability to discern and express arithmetic sequences algebraically, allowing for better understanding of linear relationships. This topic, under the broader unit "Patterns and Sums - Advanced," includes problems where students start with an initial term and repeatedly add a constant to find subsequent terms, then identify the correct algebraic expression among multiple choices that describes the pattern. Each question provides practice on translating a word-based rule into a mathematical equation, essential for mastering sequence patterns and arithmetic reasoning.

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Equation from Rule for Increasing 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 3 and add 4 for each term

Patterning - Equation from Rule for Increasing Arithmetic Pattern Worksheet

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Math worksheet on 'Patterning - Equation from Rule for Increasing 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 2 and add 4 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 2 + 4(n-1)
b A LaTex expression showing a sub n = 2 - 4(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 = 2 + 4(n)
e A LaTex expression showing a sub n = 2 + 5(n-1)
f A LaTex expression showing a sub n = 2 + 0(n-1)
2
Start at 2 and add 5 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 2 + 1(n-1)
b A LaTex expression showing a sub n = 6 + 5(n-1)
c A LaTex expression showing a sub n = 2 + 5(n-1)
d A LaTex expression showing a sub n = 2 + 5(n)
e A LaTex expression showing a sub n = 2 multiplied by 5 to the power of n-1
f A LaTex expression showing a sub n = 2 - 5(n-1)
3
Start at 3 and add 5 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 3 + 8(n-1)
b A LaTex expression showing a sub n = 3 + 5(n-1)
c A LaTex expression showing a sub n = 3 - 5(n-1)
d A LaTex expression showing a sub n = 3 + 5(n)
e A LaTex expression showing a sub n = 3 multiplied by 5 to the power of n-1
f A LaTex expression showing a sub n = 1 + 5(n-1)
4
Start at 3 and add 3 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 3 - 3(n-1)
b A LaTex expression showing a sub n = 3 + 3(n-1)
c A LaTex expression showing a sub n = 3 multiplied by 3 to the power of n-1
d A LaTex expression showing a sub n = 3 + 3(n)
e A LaTex expression showing a sub n = 3 + 6(n-1)
f A LaTex expression showing a sub n = 3 + 2(n-1)
5
Start at 1 and add 3 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 = 1 + 5(n-1)
c A LaTex expression showing a sub n = -3 + 3(n-1)
d A LaTex expression showing a sub n = 1 + 3(n-1)
e A LaTex expression showing a sub n = 1 + 6(n-1)
f A LaTex expression showing a sub n = 1 + 3(n)
6
Start at 1 and add 2 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 1 + 2(n-1)
b A LaTex expression showing a sub n = 1 + 3(n-1)
c A LaTex expression showing a sub n = 3 + 2(n-1)
d A LaTex expression showing a sub n = 1 multiplied by 2 to the power of n-1
e A LaTex expression showing a sub n = 1 + 2(n)
f A LaTex expression showing a sub n = 1 + -1(n-1)
7
Start at 1 and add 5 for each term
Find the correct equation that this pattern rule describes
a A LaTex expression showing a sub n = 1 - 5(n-1)
b A LaTex expression showing a sub n = 1 multiplied by 5 to the power of n-1
c A LaTex expression showing a sub n = 1 + 5(n)
d A LaTex expression showing a sub n = 1 + 3(n-1)
e A LaTex expression showing a sub n = 1 + 5(n-1)
f A LaTex expression showing a sub n = 4 + 5(n-1)