Number Sequences Identify - Polynomial, First Terms

Level 3

This math topic focuses on identifying polynomial sequences given their first three terms. Each problem presents a sequence and asks to determine the polynomial expression, starting with a given variable (such as r, n, x, or c) from 1, that produces these terms. Multiple choices with polynomial expressions are provided for each sequence, and the goal is to select the correct formula that matches the sequence progression. This topic is designed to enhance skills in understanding patterns and forming polynomial expressions in sequence recognition tasks.

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

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Number Sequences Identify - Polynomial, First Terms

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What sequence, starting with z = 1, are these the first 3 terms of?

2, -15, -46

?

Number Sequences Identify - Polynomial, First Terms Worksheet

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Math worksheet on 'Number Sequences Identify - Polynomial, First Terms (Level 3)'. Part of a broader unit on 'Patterns and Sums - Practice' Learn online: app.mobius.academy/math/units/patterns_and_sums_practice/
1
What sequence, starting with z = 1, are these the first 3 terms of?
-9, -26, -49
a A LaTex expression showing 3 - 8z - 3z to the power of 2
b A LaTex expression showing 2 - 5z - 3z to the power of 2
c A LaTex expression showing 2 - 8z - 5z to the power of 2
d A LaTex expression showing 2 - 8z - 2z to the power of 2
e A LaTex expression showing 1 - 8z - 3z to the power of 2
f A LaTex expression showing 2 - 8z - 3z to the power of 2
2
What sequence, starting with r = 1, are these the first 3 terms of?
6, -1, -18
a A LaTex expression showing 7r + 3 - 5r to the power of 2
b A LaTex expression showing 8r + 3 - 4r to the power of 2
c A LaTex expression showing 8r + 0 - 5r to the power of 2
d A LaTex expression showing 8r + 3 - 5r to the power of 2
e A LaTex expression showing 8r + 3 - 7r to the power of 2
f A LaTex expression showing 5r + 3 - 5r to the power of 2
3
What sequence, starting with n = 1, are these the first 3 terms of?
-1, -16, -39
a A LaTex expression showing 6 - 2n - 4n to the power of 2
b A LaTex expression showing 3 - 3n - 4n to the power of 2
c A LaTex expression showing 6 - 3n - 4n to the power of 2
d A LaTex expression showing 7 - 3n - 4n to the power of 2
e A LaTex expression showing 5 - 3n - 4n to the power of 2
f A LaTex expression showing 6 - 3n - 6n to the power of 2
4
What sequence, starting with y = 1, are these the first 3 terms of?
4, -1, -12
a A LaTex expression showing 4y + 3 - 1y to the power of 2
b A LaTex expression showing 4y + 3 - 0y to the power of 2
c A LaTex expression showing 4y + 2 - 3y to the power of 2
d A LaTex expression showing 4y + 3 - 2y to the power of 2
e A LaTex expression showing 4y + 3 - 3y to the power of 2
f A LaTex expression showing 4y + 3 - 5y to the power of 2
5
What sequence, starting with c = 1, are these the first 3 terms of?
-6, -36, -82
a A LaTex expression showing 8 - 5c - 8c to the power of 2
b A LaTex expression showing 8 - 6c - 5c to the power of 2
c A LaTex expression showing 7 - 6c - 8c to the power of 2
d A LaTex expression showing 6 - 6c - 8c to the power of 2
e A LaTex expression showing 8 - 7c - 8c to the power of 2
f A LaTex expression showing 8 - 6c - 8c to the power of 2
6
What sequence, starting with r = 1, are these the first 3 terms of?
-8, -28, -56
a A LaTex expression showing 4 - 8r - 5r to the power of 2
b A LaTex expression showing 1 - 8r - 4r to the power of 2
c A LaTex expression showing 6 - 8r - 4r to the power of 2
d A LaTex expression showing 4 - 8r - 4r to the power of 2
e A LaTex expression showing 4 - 8r - 6r to the power of 2
f A LaTex expression showing 4 - 8r - 3r to the power of 2
7
What sequence, starting with y = 1, are these the first 3 terms of?
1, -13, -33
a A LaTex expression showing 7 - 5y - 3y to the power of 2
b A LaTex expression showing 9 - 5y - 0y to the power of 2
c A LaTex expression showing 10 - 5y - 3y to the power of 2
d A LaTex expression showing 9 - 5y - 3y to the power of 2
e A LaTex expression showing 9 - 7y - 3y to the power of 2
f A LaTex expression showing 9 - 2y - 3y to the power of 2