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Patterning - Term Value from Equation for Increasing Arithmetic Pattern (Level 3)

This math topic focuses on finding the value of terms in increasing arithmetic sequences using specific formulas. It involves substituting given values of \( n \) (like 14, 15, 16, etc.) into the arithmetic pattern equations to find the term at that position. Each question presents a different arithmetic sequence formula and asks for the term value at specified positions \( n \). Choices for each answer hint at the application of arithmetic operations and understanding how to manipulate formulas. This is part of a broader unit on advanced patterns and sums.

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

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Term Value from Equation 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=12 given this pattern equation

an=3+5(n−1)a_n = 3 + 5(n-1)

Patterning - Term Value from Equation for Increasing Arithmetic Pattern Worksheet

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Math worksheet on 'Patterning - Term Value from Equation for Increasing Arithmetic Pattern (Level 3)'. Part of a broader unit on 'Patterns and Sums - Advanced' Learn online: app.mobius.academy/math/units/patterns_and_sums_advanced/
1
Find the term for n=15 given this pattern equation
A LaTex expression showing a sub n = 1 + 4(n-1)
a
-55
b
29
c
52
d
57
e
268,435,456
f
55
2
Find the term for n=15 given this pattern equation
A LaTex expression showing a sub n = 1 + 5(n-1)
a
15
b
68
c
75
d
71
e
72
f
69
3
Find the term for n=12 given this pattern equation
A LaTex expression showing a sub n = 2 + 5(n-1)
a
54
b
57
c
58
d
13
e
52
f
59
4
Find the term for n=14 given this pattern equation
A LaTex expression showing a sub n = 2 + 4(n-1)
a
-50
b
54
c
93
d
134,217,728
e
58
f
52
5
Find the term for n=18 given this pattern equation
A LaTex expression showing a sub n = 1 + 6(n-1)
a
100
b
107
c
-101
d
16,926,659,444,736
e
99
f
103
6
Find the term for n=12 given this pattern equation
A LaTex expression showing a sub n = 1 + 3(n-1)
a
45
b
34
c
29
d
38
e
36
f
177,147
7
Find the term for n=14 given this pattern equation
A LaTex expression showing a sub n = 3 + 5(n-1)
a
70
b
65
c
69
d
67
e
16
f
68