HomePricing

Number Sequences Identify - Arithmetic, First Terms (Level 4)

This math topic focuses on identifying arithmetic sequences given their first three terms. Each problem presents a different sequence and asks students to determine the formula that describes it. The skills practiced include understanding sequence patterns, forming algebraic expressions for arithmetic sequences, and applying algebraic thinking to sequence identification. The problems involve a variety of sequences, each starting with a different initial term. Students must choose the correct sequence formula from multiple choices provided for each sequence. This topic is a part of a broader unit on number patterns.

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

View Unit

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

1, -5, -11

Number Sequences Identify - Arithmetic, First Terms Worksheet

Mobius Math Club logo
Math worksheet on 'Number Sequences Identify - Arithmetic, First Terms (Level 4)'. 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 b = 1, are these the first 3 terms of?
0, -5, -10
a A LaTex expression showing 5 - 7b
b A LaTex expression showing 5 - 2b
c A LaTex expression showing 5 - 6b
d A LaTex expression showing 4 - 5b
e A LaTex expression showing 5 - 3b
f A LaTex expression showing 5 - 5b
2
What sequence, starting with y = 1, are these the first 3 terms of?
0, -6, -12
a A LaTex expression showing 6 - 3y
b A LaTex expression showing 7 - 6y
c A LaTex expression showing 6 - 6y
d A LaTex expression showing 6 - 3y
e A LaTex expression showing 8 - 6y
f A LaTex expression showing 7 - 6y
3
What sequence, starting with r = 1, are these the first 3 terms of?
-2, -10, -18
a A LaTex expression showing 6 - 6r
b A LaTex expression showing 6 - 10r
c A LaTex expression showing 6 - 10r
d A LaTex expression showing 6 - 8r
e A LaTex expression showing 6 - 10r
f A LaTex expression showing 5 - 8r
4
What sequence, starting with d = 1, are these the first 3 terms of?
-2, -8, -14
a A LaTex expression showing 4 - 7d
b A LaTex expression showing 4 - 8d
c A LaTex expression showing 6 - 6d
d A LaTex expression showing 4 - 8d
e A LaTex expression showing 4 - 6d
f A LaTex expression showing 4 - 7d
5
What sequence, starting with n = 1, are these the first 3 terms of?
-1, -6, -11
a A LaTex expression showing 4 - 6n
b A LaTex expression showing 1 - 5n
c A LaTex expression showing 4 - 5n
d A LaTex expression showing 3 - 5n
e A LaTex expression showing 4 - 4n
f A LaTex expression showing 5 - 5n
6
What sequence, starting with z = 1, are these the first 3 terms of?
3, 1, -1
a A LaTex expression showing 5 - -1z
b A LaTex expression showing 5 - 3z
c A LaTex expression showing 5 - 2z
d A LaTex expression showing 5 - 4z
e A LaTex expression showing 5 - 4z
f A LaTex expression showing 4 - 2z
7
What sequence, starting with r = 1, are these the first 3 terms of?
-5, -13, -21
a A LaTex expression showing 3 - 9r
b A LaTex expression showing 0 - 8r
c A LaTex expression showing 1 - 8r
d A LaTex expression showing 3 - 6r
e A LaTex expression showing 3 - 10r
f A LaTex expression showing 3 - 8r