Term Value from Rule for Decreasing Arithmetic Pattern (Level 2)

This math topic involves practicing how to find specific terms in decreasing arithmetic sequences, where each term is derived by consistently subtracting a fixed number from the previous term. Problems require calculating the nth term based on starting values and specified rules for subtraction. Arithmetic sequences covered typically start with a defined number and consistently subtract 2, 3, 4, or 5 from each successive term to find values at different positions (n) in the sequence.

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

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Patterning - Term Value from Rule for Decreasing Arithmetic Pattern Worksheet

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Patterning - Term Value from Rule for Decreasing Arithmetic Pattern
1
Start at 32 and subtract 2 for each term
Find the term for n=9 given this pattern rule (first term is n=1)
a
18
b
32
c
16
d
48
e
12
f
8,192
2
Start at 85 and subtract 6 for each term
Find the term for n=9 given this pattern rule (first term is n=1)
a
33
b
37
c
142,767,360
d
34
e
35
f
133
3
Start at 43 and subtract 3 for each term
Find the term for n=12 given this pattern rule (first term is n=1)
a
7
b
76
c
14
d
10
e
6
f
7,617,321
4
Start at 62 and subtract 4 for each term
Find the term for n=14 given this pattern rule (first term is n=1)
a
6
b
4,160,749,568
c
10
d
-3
e
114
f
7
5
Start at 72 and subtract 5 for each term
Find the term for n=10 given this pattern rule (first term is n=1)
a
23
b
27
c
24
d
30
e
140,625,000
f
117
6
Start at 71 and subtract 5 for each term
Find the term for n=12 given this pattern rule (first term is n=1)
a
27
b
126
c
16
d
60
e
3,466,796,875
f
11
7
Start at 87 and subtract 6 for each term
Find the term for n=10 given this pattern rule (first term is n=1)
a
141
b
32
c
30
d
33
e
28
f
876,759,552
8
Start at 30 and subtract 2 for each term
Find the term for n=10 given this pattern rule (first term is n=1)
a
-6
b
15,360
c
11
d
21
e
12
f
48