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Number Sequences Identify - Arithmetic, First Terms (Level 3)

This math topic focuses on identifying arithmetic sequences and determining the algebraic expression that describes the sequence given the first three terms. It involves pattern recognition and understanding the relationship between consecutive terms in an arithmetic sequence, typically formatted as "What sequence, starting with a variable equals 1, are these the first 3 terms of?" Each problem is followed by multiple choices expressed in algebraic terms involving the sequence's starting variable. This aims to enhance skills in patterning and number patterns practice, primarily using linear relationships.

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

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Number Sequences Identify - Arithmetic, First Terms

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


What sequence, starting with p = 1, are these the first 3 terms of?

6, 10, 14

Number Sequences Identify - Arithmetic, First Terms Worksheet

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Math worksheet on 'Number Sequences Identify - Arithmetic, First Terms (Level 3)'. Part of a broader unit on 'Patterns and Sums - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/
1
What sequence, starting with z = 1, are these the first 3 terms of?
17, 26, 35
a A LaTex expression showing 10 + 9z
b A LaTex expression showing 8 + 10z
c A LaTex expression showing 5 + 9z
d A LaTex expression showing 8 + 9z
e A LaTex expression showing 8 + 6z
f A LaTex expression showing 8 + 8z
2
What sequence, starting with p = 1, are these the first 3 terms of?
13, 20, 27
a A LaTex expression showing 6 + 4p
b A LaTex expression showing 6 + 5p
c A LaTex expression showing 6 + 5p
d A LaTex expression showing 5 + 7p
e A LaTex expression showing 8 + 7p
f A LaTex expression showing 6 + 7p
3
What sequence, starting with b = 1, are these the first 3 terms of?
11, 19, 27
a A LaTex expression showing 3 + 8b
b A LaTex expression showing 3 + 5b
c A LaTex expression showing 0 + 8b
d A LaTex expression showing 3 + 7b
e A LaTex expression showing 3 + 10b
f A LaTex expression showing 3 + 7b
4
What sequence, starting with r = 1, are these the first 3 terms of?
14, 22, 30
a A LaTex expression showing 5 + 8r
b A LaTex expression showing 3 + 8r
c A LaTex expression showing 6 + 9r
d A LaTex expression showing 6 + 7r
e A LaTex expression showing 6 + 8r
f A LaTex expression showing 4 + 8r
5
What sequence, starting with d = 1, are these the first 3 terms of?
11, 13, 15
a A LaTex expression showing 10 + 2d
b A LaTex expression showing 9 + 0d
c A LaTex expression showing 9 + -1d
d A LaTex expression showing 7 + 2d
e A LaTex expression showing 9 + 2d
f A LaTex expression showing 10 + 2d
6
What sequence, starting with p = 1, are these the first 3 terms of?
12, 17, 22
a A LaTex expression showing 7 + 7p
b A LaTex expression showing 7 + 7p
c A LaTex expression showing 6 + 5p
d A LaTex expression showing 8 + 5p
e A LaTex expression showing 7 + 5p
f A LaTex expression showing 4 + 5p
7
What sequence, starting with y = 1, are these the first 3 terms of?
10, 12, 14
a A LaTex expression showing 8 + 2y
b A LaTex expression showing 8 + 1y
c A LaTex expression showing 8 + 1y
d A LaTex expression showing 8 + 4y
e A LaTex expression showing 8 + -1y
f A LaTex expression showing 8 + 4y