Number Sequences Identify - Arithmetic, First Terms (Level 2)

This math topic focuses on identifying arithmetic sequences by determining the algebraic expression that matches the first three terms given a starting index. The problems present sequences initiated from different starting points (like x = 1, c = 1, etc.) and require finding the correct linear equation (in the form of m * index + c) that generates that sequence. Each question provides multiple choice answers represented by algebraic expressions, from which the correct formula must be chosen based on the sequence provided. This activity reinforces understanding of arithmetic progressions, patterning, and basic algebraic manipulation.

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 n = 1, are these the first 3 terms of?

-3, -1, 1

Number Sequences Identify - Arithmetic, First Terms Worksheet

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Math worksheet on 'Number Sequences Identify - 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 sequence, starting with y = 1, are these the first 3 terms of?
4, 10, 16
a A LaTex expression showing 6y - 2
b A LaTex expression showing 6y - -1
c A LaTex expression showing 6y - 1
d A LaTex expression showing 3y - 2
e A LaTex expression showing 6y - 4
f A LaTex expression showing 4y - 2
2
What sequence, starting with b = 1, are these the first 3 terms of?
-1, 4, 9
a A LaTex expression showing 5b - 4
b A LaTex expression showing 7b - 6
c A LaTex expression showing 5b - 6
d A LaTex expression showing 5b - 5
e A LaTex expression showing 2b - 6
f A LaTex expression showing 3b - 6
3
What sequence, starting with z = 1, are these the first 3 terms of?
9, 16, 23
a A LaTex expression showing 6z + 2
b A LaTex expression showing 4z + 2
c A LaTex expression showing 7z + 2
d A LaTex expression showing 7z + -1
e A LaTex expression showing 7z + 4
f A LaTex expression showing 9z + 2
4
What sequence, starting with r = 1, are these the first 3 terms of?
1, 6, 11
a A LaTex expression showing 5r - 2
b A LaTex expression showing 5r - 5
c A LaTex expression showing 5r - 6
d A LaTex expression showing 5r - 4
e A LaTex expression showing 2r - 4
f A LaTex expression showing 7r - 4
5
What sequence, starting with y = 1, are these the first 3 terms of?
8, 14, 20
a A LaTex expression showing 6y + 0
b A LaTex expression showing 8y + 2
c A LaTex expression showing 5y + 2
d A LaTex expression showing 3y + 2
e A LaTex expression showing 6y + 2
f A LaTex expression showing 4y + 2
6
What sequence, starting with n = 1, are these the first 3 terms of?
10, 13, 16
a A LaTex expression showing 3n + 8
b A LaTex expression showing 2n + 7
c A LaTex expression showing 3n + 7
d A LaTex expression showing 3n + 5
e A LaTex expression showing 1n + 7
f A LaTex expression showing 5n + 7
7
What sequence, starting with m = 1, are these the first 3 terms of?
-2, 3, 8
a A LaTex expression showing 6m - 7
b A LaTex expression showing 5m - 5
c A LaTex expression showing 2m - 7
d A LaTex expression showing 3m - 7
e A LaTex expression showing 5m - 4
f A LaTex expression showing 5m - 7