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.

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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 Advanced' Learn online: app.mobius.academy/math/units/patterning_number_advanced/
1
What sequence, starting with z = 1, are these the first 3 terms of?
9, 16, 23
a A LaTex expression showing 7z + 4
b A LaTex expression showing 9z + 2
c A LaTex expression showing 7z + -1
d A LaTex expression showing 6z + 2
e A LaTex expression showing 7z + 2
f A LaTex expression showing 4z + 2
2
What sequence, starting with m = 1, are these the first 3 terms of?
10, 17, 24
a A LaTex expression showing 5m + 3
b A LaTex expression showing 9m + 3
c A LaTex expression showing 4m + 3
d A LaTex expression showing 7m + 0
e A LaTex expression showing 7m + 2
f A LaTex expression showing 7m + 3
3
What sequence, starting with c = 1, are these the first 3 terms of?
7, 11, 15
a A LaTex expression showing 6c + 3
b A LaTex expression showing 4c + 3
c A LaTex expression showing 5c + 3
d A LaTex expression showing 4c + 4
e A LaTex expression showing 2c + 3
f A LaTex expression showing 3c + 3
4
What sequence, starting with b = 1, are these the first 3 terms of?
0, 3, 6
a A LaTex expression showing 0b - 3
b A LaTex expression showing 3b - 2
c A LaTex expression showing 2b - 3
d A LaTex expression showing 3b - 3
e A LaTex expression showing 1b - 3
f A LaTex expression showing 3b - 0
5
What sequence, starting with x = 1, are these the first 3 terms of?
8, 10, 12
a A LaTex expression showing 2x + 5
b A LaTex expression showing 4x + 6
c A LaTex expression showing 2x + 3
d A LaTex expression showing 2x + 6
e A LaTex expression showing 3x + 6
f A LaTex expression showing 1x + 6
6
What sequence, starting with c = 1, are these the first 3 terms of?
2, 6, 10
a A LaTex expression showing 4c - 0
b A LaTex expression showing 4c - -1
c A LaTex expression showing 4c - 2
d A LaTex expression showing 4c - 3
e A LaTex expression showing 6c - 2
f A LaTex expression showing 5c - 2
7
What sequence, starting with z = 1, are these the first 3 terms of?
5, 8, 11
a A LaTex expression showing 4z + 2
b A LaTex expression showing 3z + -1
c A LaTex expression showing 0z + 2
d A LaTex expression showing 3z + 3
e A LaTex expression showing 3z + 2
f A LaTex expression showing 3z + 4