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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 x = 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 x = 1, are these the first 3 terms of?
12, 18, 24
a A LaTex expression showing 6x + 7
b A LaTex expression showing 6x + 6
c A LaTex expression showing 6x + 3
d A LaTex expression showing 6x + 4
e A LaTex expression showing 7x + 6
f A LaTex expression showing 6x + 8
2
What sequence, starting with d = 1, are these the first 3 terms of?
-3, -1, 1
a A LaTex expression showing 0d - 5
b A LaTex expression showing 2d - 7
c A LaTex expression showing 2d - 5
d A LaTex expression showing 1d - 5
e A LaTex expression showing -1d - 5
f A LaTex expression showing 2d - 3
3
What sequence, starting with c = 1, are these the first 3 terms of?
13, 19, 25
a A LaTex expression showing 4c + 7
b A LaTex expression showing 8c + 7
c A LaTex expression showing 3c + 7
d A LaTex expression showing 6c + 8
e A LaTex expression showing 6c + 7
f A LaTex expression showing 5c + 7
4
What sequence, starting with b = 1, are these the first 3 terms of?
5, 8, 11
a A LaTex expression showing 2b + 2
b A LaTex expression showing 5b + 2
c A LaTex expression showing 0b + 2
d A LaTex expression showing 3b + 2
e A LaTex expression showing 1b + 2
f A LaTex expression showing 0b + 2
5
What sequence, starting with x = 1, are these the first 3 terms of?
1, 8, 15
a A LaTex expression showing 7x - 3
b A LaTex expression showing 8x - 6
c A LaTex expression showing 6x - 6
d A LaTex expression showing 7x - 6
e A LaTex expression showing 5x - 6
f A LaTex expression showing 4x - 6
6
What sequence, starting with c = 1, are these the first 3 terms of?
5, 7, 9
a A LaTex expression showing 2c + 0
b A LaTex expression showing 2c + 3
c A LaTex expression showing 2c + 4
d A LaTex expression showing 2c + 4
e A LaTex expression showing 4c + 3
f A LaTex expression showing 2c + 5
7
What sequence, starting with n = 1, are these the first 3 terms of?
0, 3, 6
a A LaTex expression showing 3n - 2
b A LaTex expression showing 4n - 3
c A LaTex expression showing 3n - 3
d A LaTex expression showing 3n - 2
e A LaTex expression showing 5n - 3
f A LaTex expression showing 3n - 5