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

14, 31, 56

?

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 - Practice' Learn online: app.mobius.academy/math/units/patterns_and_sums_practice/
1
What sequence, starting with p = 1, are these the first 3 terms of?
4, 20, 42
a A LaTex expression showing 1p to the power of 2 + 7p - 6
b A LaTex expression showing 3p to the power of 2 + 7p - 4
c A LaTex expression showing 3p to the power of 2 + 9p - 6
d A LaTex expression showing 3p to the power of 2 + 7p - 6
e A LaTex expression showing 2p to the power of 2 + 7p - 6
f A LaTex expression showing 5p to the power of 2 + 7p - 6
2
What sequence, starting with b = 1, are these the first 3 terms of?
3, 7, 15
a A LaTex expression showing 2b to the power of 2 - 3b + 3
b A LaTex expression showing 2b to the power of 2 - 2b + 4
c A LaTex expression showing 0b to the power of 2 - 2b + 3
d A LaTex expression showing 2b to the power of 2 - 2b + 3
e A LaTex expression showing 2b to the power of 2 - 2b + 1
f A LaTex expression showing 2b to the power of 2 - 2b + 0
3
What sequence, starting with r = 1, are these the first 3 terms of?
3, 18, 41
a A LaTex expression showing 4r to the power of 2 + 2r - 4
b A LaTex expression showing 4r to the power of 2 + 0r - 4
c A LaTex expression showing 4r to the power of 2 + 4r - 4
d A LaTex expression showing 5r to the power of 2 + 3r - 4
e A LaTex expression showing 4r to the power of 2 + 3r - 3
f A LaTex expression showing 4r to the power of 2 + 3r - 4
4
What sequence, starting with n = 1, are these the first 3 terms of?
7, 22, 49
a A LaTex expression showing 6n to the power of 2 - 3n + 4
b A LaTex expression showing 6n to the power of 2 - 1n + 4
c A LaTex expression showing 8n to the power of 2 - 3n + 4
d A LaTex expression showing 6n to the power of 2 - 4n + 4
e A LaTex expression showing 6n to the power of 2 - 5n + 4
f A LaTex expression showing 6n to the power of 2 - 0n + 4
5
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 + 0c + 3
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 + 5
e A LaTex expression showing 4c to the power of 2 + 2c + 2
f A LaTex expression showing 4c to the power of 2 + 2c + 4
6
What sequence, starting with r = 1, are these the first 3 terms of?
6, 18, 34
a A LaTex expression showing 2r to the power of 2 + 6r - 2
b A LaTex expression showing 1r to the power of 2 + 6r - 2
c A LaTex expression showing 2r to the power of 2 + 6r - 4
d A LaTex expression showing 0r to the power of 2 + 6r - 2
e A LaTex expression showing 2r to the power of 2 + 7r - 2
f A LaTex expression showing 4r to the power of 2 + 6r - 2
7
What sequence, starting with p = 1, are these the first 3 terms of?
13, 33, 65
a A LaTex expression showing 6p to the power of 2 + 2p + 6
b A LaTex expression showing 6p to the power of 2 + 2p + 7
c A LaTex expression showing 4p to the power of 2 + 2p + 5
d A LaTex expression showing 6p to the power of 2 + 2p + 3
e A LaTex expression showing 6p to the power of 2 + 2p + 5
f A LaTex expression showing 7p to the power of 2 + 2p + 5