Term Value from Equation for Decreasing Arithmetic Pattern (Level 1)

This math topic focuses on determining the term values from equations representing decreasing arithmetic patterns. Each problem involves substituting a given value of \( n \) into a linear arithmetic expression to find the specific term in the sequence. The patterns shown include subtracting a scaled version of \( n-1 \) from a constant, requiring basic algebraic manipulation and calculation skills. This set of problems is designed to enhance students' abilities to work with and understand arithmetic sequences, particularly those that decrement, part of a broader category on advanced patterns and sums.

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

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Patterning - Term Value from Equation for Decreasing Arithmetic Pattern Worksheet

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Patterning - Term Value from Equation for Decreasing Arithmetic Pattern
1
Find the term for n=6 given this pattern equation
A LaTex expression showing a sub n = 45 - 3(n-1)
a
35
b
60
c
10,935
d
28
e
30
f
31
2
Find the term for n=7 given this pattern equation
A LaTex expression showing a sub n = 46 - 3(n-1)
a
46
b
33,534
c
24
d
30
e
64
f
28
3
Find the term for n=7 given this pattern equation
A LaTex expression showing a sub n = 33 - 2(n-1)
a
24
b
-3
c
45
d
15
e
23
f
21
4
Find the term for n=8 given this pattern equation
A LaTex expression showing a sub n = 91 - 6(n-1)
a
133
b
54
c
49
d
46
e
25,474,176
f
63
5
Find the term for n=7 given this pattern equation
A LaTex expression showing a sub n = 32 - 2(n-1)
a
20
b
38
c
-4
d
15
e
18
f
44
6
Find the term for n=8 given this pattern equation
A LaTex expression showing a sub n = 43 - 3(n-1)
a
18
b
8
c
94,041
d
22
e
25
f
64
7
Find the term for n=9 given this pattern equation
A LaTex expression showing a sub n = 62 - 4(n-1)
a
62
b
30
c
27
d
32
e
4,063,232
f
94
8
Find the term for n=9 given this pattern equation
A LaTex expression showing a sub n = 47 - 3(n-1)
a
19
b
23
c
308,367
d
71
e
27
f
22