This math topic focuses on identifying polynomial sequences and their initial terms. It involves determining which polynomial formula could generate a given sequence based on its first three terms. Each problem provides a sequence and several polynomial options, where the task is to identify the correct polynomial that fits the sequence. Such exercises enhance skills in recognizing patterns and applying polynomial functions in a practical context. This is part of an advanced number patterns unit designed to challenge learners with more complex algebraic concepts.

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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, 21, 39
a A LaTex expression showing 3d to the power of 2 + 3d + 3
b A LaTex expression showing 4d to the power of 2 + 3d + 3
c A LaTex expression showing 5d to the power of 2 + 3d + 3
d A LaTex expression showing 2d to the power of 2 + 3d + 3
e A LaTex expression showing 3d to the power of 2 + 5d + 3
f A LaTex expression showing 3d to the power of 2 + 3d + 4
2
What sequence, starting with c = 1, are these the first 3 terms of?
9, 23, 45
a A LaTex expression showing 4c to the power of 2 + 2c + 3
b A LaTex expression showing 4c to the power of 2 + 2c + 2
c A LaTex expression showing 4c to the power of 2 + 4c + 3
d A LaTex expression showing 4c to the power of 2 + 2c + 4
e A LaTex expression showing 4c to the power of 2 + 0c + 3
f A LaTex expression showing 4c to the power of 2 + 2c + 5
3
What sequence, starting with p = 1, are these the first 3 terms of?
-1, -13, -33
a A LaTex expression showing 3 - 1p to the power of 2
b A LaTex expression showing 3 - 4p to the power of 2
c A LaTex expression showing 2 - 4p to the power of 2
d A LaTex expression showing 3 - 5p to the power of 2
e A LaTex expression showing 3 - 3p to the power of 2
f A LaTex expression showing 3 - 2p to the power of 2
4
What sequence, starting with r = 1, are these the first 3 terms of?
6, 18, 34
a A LaTex expression showing 4r to the power of 2 + 6r - 2
b A LaTex expression showing 2r to the power of 2 + 6r - 4
c A LaTex expression showing 2r to the power of 2 + 7r - 2
d A LaTex expression showing 0r to the power of 2 + 6r - 2
e A LaTex expression showing 1r to the power of 2 + 6r - 2
f A LaTex expression showing 2r to the power of 2 + 6r - 2
5
What sequence, starting with b = 1, are these the first 3 terms of?
7, 20, 37
a A LaTex expression showing 3b to the power of 2 + 7b - 2
b A LaTex expression showing 2b to the power of 2 + 6b - 2
c A LaTex expression showing 0b to the power of 2 + 7b - 2
d A LaTex expression showing 2b to the power of 2 + 7b - 2
e A LaTex expression showing 4b to the power of 2 + 7b - 2
f A LaTex expression showing -1b to the power of 2 + 7b - 2
6
What sequence, starting with z = 1, are these the first 3 terms of?
2, 17, 40
a A LaTex expression showing 4z to the power of 2 + 3z - 3
b A LaTex expression showing 4z to the power of 2 + 1z - 5
c A LaTex expression showing 4z to the power of 2 + 4z - 5
d A LaTex expression showing 4z to the power of 2 + 3z - 5
e A LaTex expression showing 4z to the power of 2 + 3z - 2
f A LaTex expression showing 4z to the power of 2 + 3z - 6
7
What sequence, starting with b = 1, are these the first 3 terms of?
-3, -18, -43
a A LaTex expression showing 3 - 5b to the power of 2
b A LaTex expression showing 2 - 5b to the power of 2
c A LaTex expression showing 2 - 2b to the power of 2
d A LaTex expression showing 2 - 4b to the power of 2
e A LaTex expression showing 4 - 5b to the power of 2
f A LaTex expression showing 2 - 7b to the power of 2
8
What sequence, starting with x = 1, are these the first 3 terms of?
0, -6, -16
a A LaTex expression showing 2 - 4x to the power of 2
b A LaTex expression showing 2 - 2x to the power of 2
c A LaTex expression showing 3 - 2x to the power of 2
d A LaTex expression showing 4 - 2x to the power of 2
e A LaTex expression showing 1 - 2x to the power of 2
f A LaTex expression showing 2 - 0x to the power of 2