HomePricing

Patterning - 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.

View Unit

Term Value from Rule for Decreasing Arithmetic Pattern

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the term for n=12 given this pattern rule (first term is n=1)

Start at 61 and subtract 4 for each term

Patterning - Term Value from Rule for Decreasing Arithmetic Pattern Worksheet

Mobius Math Club logo
Math worksheet on 'Patterning - Term Value from Rule for Decreasing Arithmetic Pattern (Level 2)'. Part of a broader unit on 'Patterns and Sums - Advanced' Learn online: app.mobius.academy/math/units/patterns_and_sums_advanced/
1
Start at 61 and subtract 4 for each term
Find the term for n=12 given this pattern rule (first term is n=1)
a
105
b
22
c
-5
d
255,852,544
e
14
f
17
2
Start at 45 and subtract 3 for each term
Find the term for n=13 given this pattern rule (first term is n=1)
a
9
b
81
c
12
d
13
e
23,914,845
f
14
3
Start at 58 and subtract 4 for each term
Find the term for n=12 given this pattern rule (first term is n=1)
a
15
b
10
c
14
d
13
e
243,269,632
f
102
4
Start at 32 and subtract 2 for each term
Find the term for n=14 given this pattern rule (first term is n=1)
a
262,144
b
1
c
6
d
58
e
10
f
-46
5
Start at 62 and subtract 4 for each term
Find the term for n=11 given this pattern rule (first term is n=1)
a
24
b
21
c
22
d
12
e
65,011,712
f
20
6
Start at 92 and subtract 6 for each term
Find the term for n=9 given this pattern rule (first term is n=1)
a
154,524,672
b
28
c
39
d
44
e
140
f
47
7
Start at 91 and subtract 6 for each term
Find the term for n=12 given this pattern rule (first term is n=1)
a
30
b
157
c
25
d
21
e
29
f
33,014,532,096