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Number Sequences Identify - Polynomial, First Terms (Level 2)

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.

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

15, 35, 67

Number Sequences Identify - Polynomial, First Terms Worksheet

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Math worksheet on 'Number Sequences Identify - Polynomial, First Terms (Level 2)'. 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 b = 1, are these the first 3 terms of?
7, 31, 69
a A LaTex expression showing 6b to the power of 2 + 3b - 3
b A LaTex expression showing 7b to the power of 2 + 3b - 3
c A LaTex expression showing 8b to the power of 2 + 3b - 3
d A LaTex expression showing 6b to the power of 2 + 3b - 3
e A LaTex expression showing 6b to the power of 2 + 3b - 3
f A LaTex expression showing 6b to the power of 2 + 3b - 3
2
What sequence, starting with x = 1, are these the first 3 terms of?
0, -18, -48
a A LaTex expression showing 6 - 6x to the power of 2
b A LaTex expression showing 3 - 6x to the power of 2
c A LaTex expression showing 6 - 4x to the power of 2
d A LaTex expression showing 6 - 7x to the power of 2
e A LaTex expression showing 6 - 5x to the power of 2
f A LaTex expression showing 6 - 8x to the power of 2
3
What sequence, starting with p = 1, are these the first 3 terms of?
2, 3, 8
a A LaTex expression showing 2p to the power of 2 - 5p + 6
b A LaTex expression showing 2p to the power of 2 - 3p + 5
c A LaTex expression showing 1p to the power of 2 - 5p + 5
d A LaTex expression showing 2p to the power of 2 - 5p + 6
e A LaTex expression showing 2p to the power of 2 - 5p + 2
f A LaTex expression showing 2p to the power of 2 - 5p + 5
4
What sequence, starting with r = 1, are these the first 3 terms of?
2, 12, 26
a A LaTex expression showing 2r to the power of 2 + 4r - 4
b A LaTex expression showing 2r to the power of 2 + 6r - 4
c A LaTex expression showing 2r to the power of 2 + 1r - 4
d A LaTex expression showing 2r to the power of 2 + 4r - 3
e A LaTex expression showing 4r to the power of 2 + 4r - 4
f A LaTex expression showing 2r to the power of 2 + 5r - 4
5
What sequence, starting with r = 1, are these the first 3 terms of?
11, 32, 65
a A LaTex expression showing 6r to the power of 2 + 0r + 2
b A LaTex expression showing 7r to the power of 2 + 3r + 2
c A LaTex expression showing 7r to the power of 2 + 3r + 2
d A LaTex expression showing 6r to the power of 2 + 3r + 2
e A LaTex expression showing 6r to the power of 2 + 1r + 2
f A LaTex expression showing 4r to the power of 2 + 3r + 2
6
What sequence, starting with b = 1, are these the first 3 terms of?
15, 31, 53
a A LaTex expression showing 1b to the power of 2 + 7b + 5
b A LaTex expression showing 3b to the power of 2 + 7b + 7
c A LaTex expression showing 3b to the power of 2 + 7b + 5
d A LaTex expression showing 0b to the power of 2 + 7b + 5
e A LaTex expression showing 3b to the power of 2 + 7b + 6
f A LaTex expression showing 2b to the power of 2 + 7b + 5
7
What sequence, starting with n = 1, are these the first 3 terms of?
0, -9, -24
a A LaTex expression showing 5 - 3n to the power of 2
b A LaTex expression showing 3 - 5n to the power of 2
c A LaTex expression showing 3 - 2n to the power of 2
d A LaTex expression showing 1 - 3n to the power of 2
e A LaTex expression showing 3 - 3n to the power of 2
f A LaTex expression showing 3 - 0n to the power of 2