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.

more
View

Number Sequences Identify - Arithmetic, First Terms Worksheet

Mobius Math Academy logo
Number Sequences Identify - Arithmetic, First Terms
1
What sequence, starting with y = 1, are these the first 3 terms of?
4, 10, 16
a A LaTex expression showing 6y - -1
b A LaTex expression showing 4y - 2
c A LaTex expression showing 6y - 2
d A LaTex expression showing 6y - 1
e A LaTex expression showing 3y - 2
f A LaTex expression showing 6y - 4
2
What sequence, starting with m = 1, are these the first 3 terms of?
0, 3, 6
a A LaTex expression showing 5m - 3
b A LaTex expression showing 0m - 3
c A LaTex expression showing 1m - 3
d A LaTex expression showing 3m - 3
e A LaTex expression showing 2m - 3
f A LaTex expression showing 3m - 1
3
What sequence, starting with b = 1, are these the first 3 terms of?
-5, -3, -1
a A LaTex expression showing 2b - 5
b A LaTex expression showing 2b - 7
c A LaTex expression showing 4b - 7
d A LaTex expression showing 2b - 4
e A LaTex expression showing 0b - 7
f A LaTex expression showing 2b - 9
4
What sequence, starting with m = 1, are these the first 3 terms of?
10, 17, 24
a A LaTex expression showing 7m + 3
b A LaTex expression showing 7m + 0
c A LaTex expression showing 7m + 2
d A LaTex expression showing 4m + 3
e A LaTex expression showing 9m + 3
f A LaTex expression showing 5m + 3
5
What sequence, starting with y = 1, are these the first 3 terms of?
8, 14, 20
a A LaTex expression showing 5y + 2
b A LaTex expression showing 4y + 2
c A LaTex expression showing 6y + 0
d A LaTex expression showing 8y + 2
e A LaTex expression showing 6y + 2
f A LaTex expression showing 3y + 2
6
What sequence, starting with m = 1, are these the first 3 terms of?
3, 10, 17
a A LaTex expression showing 4m - 4
b A LaTex expression showing 5m - 4
c A LaTex expression showing 7m - 4
d A LaTex expression showing 9m - 4
e A LaTex expression showing 7m - 3
f A LaTex expression showing 7m - 5
7
What sequence, starting with r = 1, are these the first 3 terms of?
1, 6, 11
a A LaTex expression showing 7r - 4
b A LaTex expression showing 5r - 5
c A LaTex expression showing 2r - 4
d A LaTex expression showing 5r - 6
e A LaTex expression showing 5r - 2
f A LaTex expression showing 5r - 4
8
What sequence, starting with y = 1, are these the first 3 terms of?
12, 19, 26
a A LaTex expression showing 8y + 5
b A LaTex expression showing 6y + 5
c A LaTex expression showing 4y + 5
d A LaTex expression showing 7y + 2
e A LaTex expression showing 7y + 4
f A LaTex expression showing 7y + 5