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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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Rule from Equation for Decreasing 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=33−6(n−1)a_n = 33 - 6(n-1)

Patterning - Rule from Equation for Decreasing Arithmetic Pattern Worksheet

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Math worksheet on 'Patterning - Rule from Equation for Decreasing 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 = 22 - 4(n-1)
a
Start with 22 and 26. Add the prior two terms for each subsequent term
b
Start at 22 and subtract 7 for each term
c
Start at 22 and add 4 for each term
d
Start at 22 and subtract 4 for each term
e
Start at 26 and subtract 4 for each term
f
Start at 24 and subtract 4 for each term
2
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 22 - 5(n-1)
a
Start at 26 and subtract 5 for each term
b
Start at 22 and multiply by 5 for each term
c
Start at 22 and subtract 5 for each term
d
Start at 22 and subtract 9 for each term
e
Start at 20 and subtract 5 for each term
f
Start at 22 and add 5 for each term
3
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 21 - 4(n-1)
a
Start at 25 and subtract 4 for each term
b
Start at 21 and multiply by 4 for each term
c
Start at 21 and subtract 6 for each term
d
Start at 22 and subtract 4 for each term
e
Start at 21 and subtract 4 for each term
f
Start at 21 and add 4 for each term
4
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 23 and subtract 1 for each term
c
Start at 19 and subtract 4 for each term
d
Start at 26 and subtract 4 for each term
e
Start at 23 and subtract 5 for each term
f
Start at 23 and add 4 for each term
5
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 16 and subtract 4 for each term
c
Start at 17 and subtract 0 for each term
d
Start with 17 and 21. Add the prior two terms for each subsequent term
e
Start at 17 and add 4 for each term
f
Start at 17 and subtract 4 for each term
6
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 10 - 2(n-1)
a
Start at 10 and multiply by 2 for each term
b
Start at 10 and subtract 2 for each term
c
Start at 10 and add 2 for each term
d
Start with 10 and 12. Add the prior two terms for each subsequent term
e
Start at 13 and subtract 2 for each term
f
Start at 11 and subtract 2 for each term
7
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 16 - 3(n-1)
a
Start at 16 and subtract 1 for each term
b
Start at 16 and subtract 3 for each term
c
Start at 16 and multiply by 3 for each term
d
Start at 16 and subtract -1 for each term
e
Start with 16 and 19. Add the prior two terms for each subsequent term
f
Start at 16 and add 3 for each term