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Number Sequences Identify - Polynomial, First Terms (Level 1)

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.

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

3, 6, 11

Number Sequences Identify - Polynomial, First Terms Worksheet

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Math worksheet on 'Number Sequences Identify - Polynomial, First Terms (Level 1)'. 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 y = 1, are these the first 3 terms of?
3, 6, 11
a A LaTex expression showing y to the power of 2 + 0
b A LaTex expression showing y to the power of 2 + 2
c A LaTex expression showing y to the power of 2 + -1
d A LaTex expression showing y to the power of 2 + 0
e A LaTex expression showing y to the power of 2 + 0
f A LaTex expression showing y to the power of 2 + -1
2
What sequence, starting with b = 1, are these the first 3 terms of?
4, 10, 20
a A LaTex expression showing -1b to the power of 2 + 2
b A LaTex expression showing -1b to the power of 2 + 2
c A LaTex expression showing 1b to the power of 2 + 2
d A LaTex expression showing 2b to the power of 2 + 4
e A LaTex expression showing 2b to the power of 2 + 2
f A LaTex expression showing -1b to the power of 2 + 2
3
What sequence, starting with p = 1, are these the first 3 terms of?
7, 19, 39
a A LaTex expression showing 2p to the power of 2 + 3
b A LaTex expression showing 4p to the power of 2 + 4
c A LaTex expression showing 4p to the power of 2 + 3
d A LaTex expression showing 6p to the power of 2 + 3
e A LaTex expression showing 4p to the power of 2 + 4
f A LaTex expression showing 4p to the power of 2 + 1
4
What sequence, starting with y = 1, are these the first 3 terms of?
5, 11, 21
a A LaTex expression showing 0y to the power of 2 + 3
b A LaTex expression showing 1y to the power of 2 + 3
c A LaTex expression showing -1y to the power of 2 + 3
d A LaTex expression showing 2y to the power of 2 + 1
e A LaTex expression showing 1y to the power of 2 + 3
f A LaTex expression showing 2y to the power of 2 + 3
5
What sequence, starting with z = 1, are these the first 3 terms of?
6, 15, 30
a A LaTex expression showing 1z to the power of 2 + 3
b A LaTex expression showing 3z to the power of 2 + 1
c A LaTex expression showing 3z to the power of 2 + 2
d A LaTex expression showing 1z to the power of 2 + 3
e A LaTex expression showing 3z to the power of 2 + 4
f A LaTex expression showing 3z to the power of 2 + 3
6
What sequence, starting with x = 1, are these the first 3 terms of?
6, 12, 22
a A LaTex expression showing 2x to the power of 2 + 4
b A LaTex expression showing 1x to the power of 2 + 4
c A LaTex expression showing 3x to the power of 2 + 4
d A LaTex expression showing 2x to the power of 2 + 1
e A LaTex expression showing 2x to the power of 2 + 1
f A LaTex expression showing 2x to the power of 2 + 5
7
What sequence, starting with m = 1, are these the first 3 terms of?
5, 8, 13
a A LaTex expression showing m to the power of 2 + 3
b A LaTex expression showing m to the power of 2 + 4
c A LaTex expression showing m to the power of 2 + 5
d A LaTex expression showing m to the power of 2 + 3
e A LaTex expression showing m to the power of 2 + 6