Number Sequences - Arithmetic, First Terms

Level 2

This math topic focuses on finding the first three terms of arithmetic number sequences. Each problem presents a different linear formula, and students must calculate the sequence by substituting integer values starting from 1. These problems help develop skills in handling arithmetic sequences, understanding algebraic expressions, and applying substitution in formulas to find sequential terms. The broader context of these exercises is an introduction to patterning and number patterns.

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

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Number Sequences - Arithmetic, First Terms

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What are the first 3 terms, starting with x = 1 in this number sequence

7x37x - 3

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Number Sequences - Arithmetic, First Terms Worksheet

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Math worksheet on 'Number Sequences - Arithmetic, First Terms (Level 2)'. Part of a broader unit on 'Patterning - Number Patterns Intro' Learn online: app.mobius.academy/math/units/patterning_number_intro/
1
What are the first 3 terms, starting with b = 1 in this number sequence
A LaTex expression showing 3b + 3
a
7, 11, 15
b
5, 7, 9
c
7, 10, 13
d
6, 9, 12
e
10, 11, 12
f
0, 3, 6
2
What are the first 3 terms, starting with x = 1 in this number sequence
A LaTex expression showing 2x - 4
a
-2, 0, 2
b
6, 10, 14
c
6, 8, 10
d
9, 10, 11
e
7, 10, 13
f
5, 6, 7
3
What are the first 3 terms, starting with z = 1 in this number sequence
A LaTex expression showing 5z - 5
a
0, 5, 10
b
11, 17, 23
c
26, 27, 28
d
9, 13, 17
e
10, 15, 20
f
11, 16, 21
4
What are the first 3 terms, starting with c = 1 in this number sequence
A LaTex expression showing 5c + 2
a
3, 8, 13
b
8, 14, 20
c
6, 10, 14
d
11, 12, 13
e
7, 9, 11
f
7, 12, 17
5
What are the first 3 terms, starting with y = 1 in this number sequence
A LaTex expression showing 9y + 3
a
28, 29, 30
b
12, 21, 30
c
13, 23, 33
d
12, 15, 18
e
6, 15, 24
f
11, 19, 27
6
What are the first 3 terms, starting with p = 1 in this number sequence
A LaTex expression showing 3p + 9
a
28, 29, 30
b
12, 15, 18
c
-6, -3, 0
d
12, 21, 30
e
11, 13, 15
f
13, 17, 21
7
What are the first 3 terms, starting with p = 1 in this number sequence
A LaTex expression showing 8p - 5
a
41, 42, 43
b
12, 19, 26
c
13, 18, 23
d
14, 23, 32
e
13, 21, 29
f
3, 11, 19