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Patterning - Equation for Decreasing Arithmetic Pattern (Level 1)

This math topic focuses on recognizing and formulating equations for decreasing arithmetic patterns. Across several problems, students are presented with sequences of numbers and are tasked with selecting the correct equation that describes the pattern where \(n=1\) is the first term. Options for the equations are provided in various formats, and students must identify the accurate arithmetic expression that continues the sequence logically. The skill level is designed for advanced pattern recognition and algebraic thinking. This topic is part of a broader unit on "Patterns and Sums - Advanced".

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

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Equation for Decreasing Arithmetic Pattern

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

Find the correct equation to describe this decreasing pattern where n=1 is the first term

21, 17, 13, 9, 5

Patterning - Equation for Decreasing Arithmetic Pattern Worksheet

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Math worksheet on 'Patterning - Equation for Decreasing Arithmetic Pattern (Level 1)'. Part of a broader unit on 'Patterns and Sums - Practice' Learn online: app.mobius.academy/math/units/patterns_and_sums_practice/
1
Find the correct equation to describe this decreasing pattern where n=1 is the first term
18, 14, 10, 6
a A LaTex expression showing a sub n = 18 - 3(n-1)
b A LaTex expression showing a sub n = a sub n-2 + a sub n-1
c A LaTex expression showing a sub n = 18 - 4(n-1)
d A LaTex expression showing a sub n = 18 multiplied by 4 to the power of n-1
e A LaTex expression showing a sub n = 17 - 4(n-1)
f A LaTex expression showing a sub n = 18 - 4(n)
2
Find the correct equation to describe this decreasing pattern where n=1 is the first term
22, 18, 14, 10, 6
a A LaTex expression showing a sub n = a sub n-2 + a sub n-1
b A LaTex expression showing a sub n = 22 multiplied by 4 to the power of n-1
c A LaTex expression showing a sub n = 22 - 4(n-1)
d A LaTex expression showing a sub n = 22 - 8(n-1)
e A LaTex expression showing a sub n = 22 - 4(n)
f A LaTex expression showing a sub n = 24 - 4(n-1)
3
Find the correct equation to describe this decreasing pattern where n=1 is the first term
17, 13, 9, 5
a A LaTex expression showing a sub n = 13 - 4(n-1)
b A LaTex expression showing a sub n = 17 - 4(n-1)
c A LaTex expression showing a sub n = 17 - 4(n)
d A LaTex expression showing a sub n = 17 multiplied by 4 to the power of 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 - 4(n-1)
4
Find the correct equation to describe this decreasing pattern where n=1 is the first term
13, 10, 7, 4
a A LaTex expression showing a sub n = 13 - 1(n-1)
b A LaTex expression showing a sub n = 13 - 3(n)
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 = a sub n-2 + a sub n-1
f A LaTex expression showing a sub n = 13 + 3(n-1)
5
Find the correct equation to describe this decreasing pattern where n=1 is the first term
21, 16, 11, 6
a A LaTex expression showing a sub n = 21 - 4(n-1)
b A LaTex expression showing a sub n = 21 - 8(n-1)
c A LaTex expression showing a sub n = 21 - 5(n)
d A LaTex expression showing a sub n = a sub n-2 + a sub n-1
e A LaTex expression showing a sub n = 21 - 5(n-1)
f A LaTex expression showing a sub n = 21 + 5(n-1)
6
Find the correct equation to describe this decreasing pattern where n=1 is the first term
14, 11, 8, 5
a A LaTex expression showing a sub n = 14 - 3(n)
b A LaTex expression showing a sub n = 14 - 7(n-1)
c A LaTex expression showing a sub n = 14 multiplied by 3 to the power of n-1
d A LaTex expression showing a sub n = 14 - 3(n-1)
e A LaTex expression showing a sub n = 18 - 3(n-1)
f A LaTex expression showing a sub n = a sub n-2 + a sub n-1
7
Find the correct equation to describe this decreasing pattern where n=1 is the first term
31, 25, 19, 13, 7
a A LaTex expression showing a sub n = 31 - 6(n-1)
b A LaTex expression showing a sub n = 34 - 6(n-1)
c A LaTex expression showing a sub n = 31 multiplied by 6 to the power of n-1
d A LaTex expression showing a sub n = 31 - 6(n)
e A LaTex expression showing a sub n = 31 - 3(n-1)
f A LaTex expression showing a sub n = a sub n-2 + a sub n-1