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.

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Number Sequences Identify - Polynomial, First Terms Worksheet

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Number Sequences Identify - Polynomial, First Terms
1
What sequence, starting with d = 1, are these the first 3 terms of?
9, -1, -21
a A LaTex expression showing 7d + 9 - 5d to the power of 2
b A LaTex expression showing 5d + 6 - 5d to the power of 2
c A LaTex expression showing 2d + 9 - 5d to the power of 2
d A LaTex expression showing 5d + 9 - 5d to the power of 2
e A LaTex expression showing 5d + 9 - 6d to the power of 2
f A LaTex expression showing 5d + 10 - 5d to the power of 2
2
What sequence, starting with z = 1, are these the first 3 terms of?
0, -19, -52
a A LaTex expression showing 2z + 5 - 7z to the power of 2
b A LaTex expression showing 2z + 7 - 7z to the power of 2
c A LaTex expression showing 2z + 5 - 6z to the power of 2
d A LaTex expression showing 2z + 5 - 5z to the power of 2
e A LaTex expression showing 1z + 5 - 7z to the power of 2
f A LaTex expression showing 2z + 4 - 7z to the power of 2
3
What sequence, starting with c = 1, are these the first 3 terms of?
-12, -48, -102
a A LaTex expression showing 6 - 9c - 9c to the power of 2
b A LaTex expression showing 6 - 9c - 10c to the power of 2
c A LaTex expression showing 6 - 11c - 9c to the power of 2
d A LaTex expression showing 6 - 9c - 8c to the power of 2
e A LaTex expression showing 6 - 9c - 6c to the power of 2
f A LaTex expression showing 6 - 9c - 7c to the power of 2
4
What sequence, starting with n = 1, are these the first 3 terms of?
-1, -16, -39
a A LaTex expression showing 5 - 3n - 4n to the power of 2
b A LaTex expression showing 6 - 3n - 4n to the power of 2
c A LaTex expression showing 6 - 2n - 4n to the power of 2
d A LaTex expression showing 6 - 3n - 6n to the power of 2
e A LaTex expression showing 7 - 3n - 4n to the power of 2
f A LaTex expression showing 3 - 3n - 4n to the power of 2
5
What sequence, starting with d = 1, are these the first 3 terms of?
8, 7, 0
a A LaTex expression showing 8d + 2 - 3d to the power of 2
b A LaTex expression showing 5d + 3 - 3d to the power of 2
c A LaTex expression showing 8d + 3 - 5d to the power of 2
d A LaTex expression showing 8d + 3 - 4d to the power of 2
e A LaTex expression showing 8d + 3 - 3d to the power of 2
f A LaTex expression showing 10d + 3 - 3d to the power of 2
6
What sequence, starting with c = 1, are these the first 3 terms of?
-10, -36, -76
a A LaTex expression showing 2 - 6c - 7c to the power of 2
b A LaTex expression showing 2 - 5c - 4c to the power of 2
c A LaTex expression showing 2 - 5c - 7c to the power of 2
d A LaTex expression showing 2 - 5c - 6c to the power of 2
e A LaTex expression showing 2 - 5c - 5c to the power of 2
f A LaTex expression showing 2 - 5c - 9c to the power of 2
7
What sequence, starting with c = 1, are these the first 3 terms of?
0, -18, -50
a A LaTex expression showing 2c + 4 - 7c to the power of 2
b A LaTex expression showing 3c + 1 - 7c to the power of 2
c A LaTex expression showing 3c + 4 - 8c to the power of 2
d A LaTex expression showing 3c + 6 - 7c to the power of 2
e A LaTex expression showing 3c + 5 - 7c to the power of 2
f A LaTex expression showing 3c + 4 - 7c to the power of 2
8
What sequence, starting with y = 1, are these the first 3 terms of?
10, 9, 2
a A LaTex expression showing 8y + 5 - 5y to the power of 2
b A LaTex expression showing 6y + 5 - 3y to the power of 2
c A LaTex expression showing 8y + 5 - 4y to the power of 2
d A LaTex expression showing 5y + 5 - 3y to the power of 2
e A LaTex expression showing 8y + 5 - 3y to the power of 2
f A LaTex expression showing 8y + 3 - 3y to the power of 2