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Patterning - Term Value from Rule for Increasing Arithmetic Pattern (Level 1)

This math topic focuses on identifying the value of terms in arithmetic sequences, where each problem provides a starting value and a constant addition rule. The problems involve calculating the value of a specific term given its position in the sequence (denoted by 'n'). The sequences explored have varying starting points and increment values, testing the learner's ability to apply and manipulate the formula for an arithmetic sequence in different scenarios. The goal is to determine the value of the sequence at a particular position, enhancing skills in recognizing and working with patterns and arithmetic progressions.

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

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Term Value from Rule for Increasing Arithmetic Pattern

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


Find the term for n=6 given this pattern rule (first term is n=1)

Start at 1 and add 2 for each term

Patterning - Term Value from Rule for Increasing Arithmetic Pattern Worksheet

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Math worksheet on 'Patterning - Term Value from Rule for Increasing Arithmetic Pattern (Level 1)'. Part of a broader unit on 'Patterns and Sums - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/
1
Start at 2 and add 6 for each term
Find the term for n=6 given this pattern rule (first term is n=1)
a
35
b
28
c
31
d
32
e
-28
f
29
2
Start at 1 and add 6 for each term
Find the term for n=8 given this pattern rule (first term is n=1)
a
46
b
43
c
40
d
-41
e
57
f
39
3
Start at 3 and add 3 for each term
Find the term for n=9 given this pattern rule (first term is n=1)
a
26
b
19,683
c
30
d
31
e
27
f
35
4
Start at 2 and add 2 for each term
Find the term for n=8 given this pattern rule (first term is n=1)
a
17
b
256
c
16
d
30
e
14
f
-12
5
Start at 1 and add 5 for each term
Find the term for n=9 given this pattern rule (first term is n=1)
a
-39
b
45
c
38
d
57
e
41
f
390,625
6
Start at 2 and add 3 for each term
Find the term for n=7 given this pattern rule (first term is n=1)
a
18
b
-16
c
17
d
20
e
16
f
21
7
Start at 3 and add 5 for each term
Find the term for n=6 given this pattern rule (first term is n=1)
a
33
b
28
c
24
d
-22
e
9,375
f
43