This math topic focuses on identifying polynomial sequences based on their first three terms. The problems require finding polynomial expressions that correspond to the given sequences, starting with the values m, c, y, b, and x equal to 1. Each question provides a sequence of three numbers and multiple choice polynomial options. The polynomials vary in their coefficients and constants, necessitating the application of knowledge in polynomial functions and pattern recognition to discern which polynomial correctly describes the sequence presented.

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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 b = 1, are these the first 3 terms of?
4, 7, 12
a A LaTex expression showing b to the power of 2 + 0
b A LaTex expression showing b to the power of 2 + 1
c A LaTex expression showing b to the power of 2 + 3
d A LaTex expression showing b to the power of 2 + 2
e A LaTex expression showing b to the power of 2 + 5
2
What sequence, starting with r = 1, are these the first 3 terms of?
6, 12, 22
a A LaTex expression showing 3r to the power of 2 + 4
b A LaTex expression showing 2r to the power of 2 + 6
c A LaTex expression showing -1r to the power of 2 + 4
d A LaTex expression showing 2r to the power of 2 + 2
e A LaTex expression showing 2r to the power of 2 + 4
f A LaTex expression showing 1r to the power of 2 + 4
3
What sequence, starting with c = 1, are these the first 3 terms of?
4, 10, 20
a A LaTex expression showing 1c to the power of 2 + 2
b A LaTex expression showing 2c to the power of 2 + 1
c A LaTex expression showing 2c to the power of 2 + 2
d A LaTex expression showing 2c to the power of 2 + 3
e A LaTex expression showing 2c to the power of 2 + 4
f A LaTex expression showing 0c to the power of 2 + 2
4
What sequence, starting with x = 1, are these the first 3 terms of?
3, 6, 11
a A LaTex expression showing x to the power of 2 + 0
b A LaTex expression showing x to the power of 2 + 2
c A LaTex expression showing x to the power of 2 + 1
d A LaTex expression showing x to the power of 2 + 4
5
What sequence, starting with m = 1, are these the first 3 terms of?
7, 19, 39
a A LaTex expression showing 4m to the power of 2 + 4
b A LaTex expression showing 1m to the power of 2 + 3
c A LaTex expression showing 4m to the power of 2 + 0
d A LaTex expression showing 4m to the power of 2 + 2
e A LaTex expression showing 4m to the power of 2 + 3
f A LaTex expression showing 6m to the power of 2 + 3
6
What sequence, starting with y = 1, are these the first 3 terms of?
6, 15, 30
a A LaTex expression showing 3y to the power of 2 + 4
b A LaTex expression showing 2y to the power of 2 + 3
c A LaTex expression showing 3y to the power of 2 + 2
d A LaTex expression showing 5y to the power of 2 + 3
e A LaTex expression showing 3y to the power of 2 + 3
f A LaTex expression showing 3y to the power of 2 + 5
7
What sequence, starting with d = 1, are these the first 3 terms of?
5, 14, 29
a A LaTex expression showing 1d to the power of 2 + 2
b A LaTex expression showing 4d to the power of 2 + 2
c A LaTex expression showing 5d to the power of 2 + 2
d A LaTex expression showing 0d to the power of 2 + 2
e A LaTex expression showing 3d to the power of 2 + -1
f A LaTex expression showing 3d to the power of 2 + 2
8
What sequence, starting with r = 1, are these the first 3 terms of?
5, 11, 21
a A LaTex expression showing 0r to the power of 2 + 3
b A LaTex expression showing 2r to the power of 2 + 1
c A LaTex expression showing 1r to the power of 2 + 3
d A LaTex expression showing 2r to the power of 2 + 3
e A LaTex expression showing 2r to the power of 2 + 0
f A LaTex expression showing 2r to the power of 2 + 4