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.

View Unit

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=28−5(n−1)a_n = 28 - 5(n-1)

Patterning - Rule from Equation for Decreasing Arithmetic Pattern Worksheet

Mobius Math Club logo
Math worksheet on 'Patterning - Rule from 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 rule that describes this pattern equation
A LaTex expression showing a sub n = 28 - 5(n-1)
a
Start with 28 and 33. Add the prior two terms for each subsequent term
b
Start at 28 and add 5 for each term
c
Start at 28 and subtract 4 for each term
d
Start at 28 and subtract 6 for each term
e
Start at 28 and subtract 5 for each term
f
Start at 24 and subtract 5 for each term
2
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 26 - 5(n-1)
a
Start at 23 and subtract 5 for each term
b
Start at 26 and subtract 5 for each term
c
Start at 26 and multiply by 5 for each term
d
Start with 26 and 31. Add the prior two terms for each subsequent term
e
Start at 26 and subtract 3 for each term
f
Start at 24 and subtract 5 for each term
3
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 27 - 6(n-1)
a
Start with 27 and 33. Add the prior two terms for each subsequent term
b
Start at 27 and add 6 for each term
c
Start at 27 and subtract 10 for each term
d
Start at 25 and subtract 6 for each term
e
Start at 28 and subtract 6 for each term
f
Start at 27 and subtract 6 for each term
4
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 26 - 6(n-1)
a
Start at 26 and add 6 for each term
b
Start at 26 and subtract 6 for each term
c
Start at 26 and subtract 3 for each term
d
Start at 29 and subtract 6 for each term
e
Start at 26 and multiply by 6 for each term
f
Start at 26 and subtract 7 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 17 and subtract 4 for each term
c
Start with 17 and 21. Add the prior two terms for each subsequent term
d
Start at 16 and subtract 4 for each term
e
Start at 17 and subtract 0 for each term
f
Start at 17 and add 4 for each term
6
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 31 - 6(n-1)
a
Start at 31 and subtract 10 for each term
b
Start at 30 and subtract 6 for each term
c
Start at 27 and subtract 6 for each term
d
Start at 31 and subtract 6 for each term
e
Start at 31 and multiply by 6 for each term
f
Start at 34 and subtract 6 for each term
7
Find the rule that describes this pattern equation
A LaTex expression showing a sub n = 21 - 4(n-1)
a
Start at 21 and subtract 4 for each term
b
Start at 21 and subtract 6 for each term
c
Start at 22 and subtract 4 for each term
d
Start at 21 and multiply by 4 for each term
e
Start at 21 and add 4 for each term
f
Start at 25 and subtract 4 for each term