Term Value from Rule for Decreasing Arithmetic Pattern (Level 3)

This math topic focuses on finding the value of a term in a decreasing arithmetic sequence. Each problem provides a starting number and a common difference by which the sequence decreases for each successive term. Students are tasked with calculating the value of a specific term in the sequence. This advanced exercise enhances understanding of patterns and sequences, requiring application of arithmetic operations and sequence rules.

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

more
View

Patterning - Term Value from Rule for Decreasing Arithmetic Pattern Worksheet

Mobius Math Academy logo
Patterning - Term Value from Rule for Decreasing Arithmetic Pattern
1
Start at 87 and subtract 6 for each term
Find the term for n=13 given this pattern rule (first term is n=1)
a
11
b
159
c
17
d
15
e
13
f
10
2
Start at 86 and subtract 6 for each term
Find the term for n=14 given this pattern rule (first term is n=1)
a
8
b
7
c
-18
d
13
e
164
f
1,123,219,685,376
3
Start at 85 and subtract 6 for each term
Find the term for n=15 given this pattern rule (first term is n=1)
a
3
b
5
c
1
d
6,660,953,948,160
e
6
f
-13
4
Start at 31 and subtract 2 for each term
Find the term for n=15 given this pattern rule (first term is n=1)
a
-1
b
59
c
3
d
507,904
e
5
f
-39
5
Start at 43 and subtract 3 for each term
Find the term for n=10 given this pattern rule (first term is n=1)
a
16
b
70
c
-2
d
20
e
846,369
f
14
6
Start at 71 and subtract 5 for each term
Find the term for n=11 given this pattern rule (first term is n=1)
a
23
b
-19
c
693,359,375
d
21
e
20
f
17
7
Start at 63 and subtract 4 for each term
Find the term for n=11 given this pattern rule (first term is n=1)
a
24
b
103
c
20
d
22
e
23
f
19
8
Start at 78 and subtract 5 for each term
Find the term for n=11 given this pattern rule (first term is n=1)
a
128
b
761,718,750
c
48
d
23
e
24
f
28