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

This math topic focuses on finding term values in decreasing arithmetic sequences. Skills practiced include identifying the nth term from a given rule, where a starting number is progressively decreased by a fixed amount to find subsequent terms. Each question provides a starting number and a decrement value, tasking students with calculating a specific term's value. The exercise enhances understanding of arithmetic patterns and term calculation in progressively descending sequences.

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 87 and subtract 6 for each term
Find the term for n=6 given this pattern rule (first term is n=1)
a
54
b
77
c
53
d
676,512
e
57
f
117
2
Start at 31 and subtract 2 for each term
Find the term for n=8 given this pattern rule (first term is n=1)
a
16
b
24
c
31
d
45
e
17
f
3,968
3
Start at 58 and subtract 4 for each term
Find the term for n=7 given this pattern rule (first term is n=1)
a
34
b
29
c
237,568
d
82
e
33
f
52
4
Start at 32 and subtract 2 for each term
Find the term for n=7 given this pattern rule (first term is n=1)
a
20
b
2
c
22
d
14
e
2,048
f
44
5
Start at 59 and subtract 4 for each term
Find the term for n=6 given this pattern rule (first term is n=1)
a
60,416
b
37
c
35
d
40
e
43
f
39
6
Start at 76 and subtract 5 for each term
Find the term for n=7 given this pattern rule (first term is n=1)
a
42
b
49
c
46
d
70
e
1,187,500
f
41
7
Start at 77 and subtract 5 for each term
Find the term for n=9 given this pattern rule (first term is n=1)
a
35
b
30,078,125
c
21
d
36
e
117
f
37
8
Start at 71 and subtract 5 for each term
Find the term for n=5 given this pattern rule (first term is n=1)
a
51
b
43
c
44,375
d
50
e
47
f
46