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

This math topic focuses on understanding and identifying the rules of increasing arithmetic sequences from given equations. Each problem presents an arithmetic sequence equation, and students must choose the correct rule that describes how the sequence progresses, such as starting at a particular number and adding a constant value to each subsequent term. Multiple-choice answers are provided, where options involve differentiating between adding, subtracting, and multiplying to form the sequence. The problems advance the learners' ability to apply arithmetic sequences in problem-solving contexts.

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

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Rule from Equation for Increasing Arithmetic Pattern

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


Find the rule that describes this pattern equation

an=1+5(n−1)a_n = 1 + 5(n-1)

Patterning - Rule from Equation for Increasing Arithmetic Pattern Worksheet

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Math worksheet on 'Patterning - Rule from Equation for Increasing Arithmetic Pattern (Level 1)'. Part of a broader unit on 'Patterns and Sums - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/
1
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 1 + 5(n-1)
a
Start at 4 and add 5 for each term
b
Start at 1 and add 9 for each term
c
Start at 1 and add 5 for each term
d
Start at 1 and multiply by 5 for each term
e
Start at -1 and add 5 for each term
f
Start with 1 and 6. 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 = 1 + 6(n-1)
a
Start at 1 and add 2 for each term
b
Start at 1 and multiply by 6 for each term
c
Start at 1 and add 6 for each term
d
Start at 1 and add 4 for each term
e
Start at 1 and add 10 for each term
f
Start at -1 and add 6 for each term
3
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 2 + 2(n-1)
a
Start at 2 and add 2 for each term
b
Start with 2 and 4. Add the prior two terms for each subsequent term
c
Start at 2 and multiply by 2 for each term
d
Start at 2 and add 4 for each term
e
Start at 1 and add 2 for each term
f
Start at 5 and add 2 for each term
4
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 1 + 3(n-1)
a
Start at 3 and add 3 for each term
b
Start at 1 and add 3 for each term
c
Start at 1 and subtract 3 for each term
d
Start at 1 and add 5 for each term
e
Start with 1 and 4. Add the prior two terms for each subsequent term
f
Start at 1 and add 4 for each term
5
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 3 + 5(n-1)
a
Start at -1 and add 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 subtract 5 for each term
e
Start at 2 and add 5 for each term
f
Start at 3 and add 2 for each term
6
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 1 + 4(n-1)
a
Start at 5 and add 4 for each term
b
Start at 1 and add 4 for each term
c
Start at 1 and multiply by 4 for each term
d
Start at 1 and subtract 4 for each term
e
Start with 1 and 5. Add the prior two terms for each subsequent term
f
Start at 4 and add 4 for each term
7
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 2 + 6(n-1)
a
Start at 3 and add 6 for each term
b
Start at 2 and add 6 for each term
c
Start at 5 and add 6 for each term
d
Start at 2 and add 2 for each term
e
Start at 2 and add 5 for each term
f
Start at 2 and multiply by 6 for each term