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Number Sequences - Polynomial, First Terms (Level 1)

This math topic focuses on identifying the first three terms of polynomial sequences with given starting values. The problems present different polynomial expressions and require calculating the sequence values after substituting the initial terms. Each question is structured to test understanding of polynomial operations and sequence generation, promoting skills in pattern recognition and algebraic manipulation. The questions each include multiple-choice answers, providing several possible sequences for each polynomial expression given. This is part of a broader unit on pattern and number patterns practice.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Number Sequences - Polynomial, First Terms

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

What are the first 3 terms, starting with p = 1 in this number sequence

p2+5p^2 + 5

Number Sequences - Polynomial, First Terms Worksheet

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Math worksheet on 'Number Sequences - 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 are the first 3 terms, starting with m = 1 in this number sequence
A LaTex expression showing m to the power of 2 + 8
a
8, 32, 72
b
3, 6, 11
c
9, 12, 17
d
1, 4, 9
e
9, 16, 35
f
8, 32, 72
2
What are the first 3 terms, starting with p = 1 in this number sequence
A LaTex expression showing p to the power of 2 + 9
a
3, 6, 11
b
9, 36, 81
c
10, 17, 36
d
9, 36, 81
e
10, 13, 18
f
1, 4, 9
3
What are the first 3 terms, starting with r = 1 in this number sequence
A LaTex expression showing r to the power of 2 + 2
a
2, 8, 18
b
3, 6, 11
c
4, 6, 8
d
1, 4, 9
e
2, 8, 18
f
3, 10, 29
4
What are the first 3 terms, starting with d = 1 in this number sequence
A LaTex expression showing 4d to the power of 2 + 6
a
12, 24, 44
b
2, 20, 50
c
10, 22, 42
d
10, 28, 58
e
10, 38, 114
f
0, 12, 32
5
What are the first 3 terms, starting with r = 1 in this number sequence
A LaTex expression showing 6r to the power of 2 + 3
a
-3, 6, 21
b
9, 51, 165
c
0, 18, 48
d
18, 36, 66
e
9, 27, 57
f
9, 18, 33
6
What are the first 3 terms, starting with p = 1 in this number sequence
A LaTex expression showing 4p to the power of 2 + 2
a
6, 12, 22
b
-2, 4, 14
c
0, 12, 32
d
12, 24, 44
e
6, 34, 110
f
6, 18, 38
7
What are the first 3 terms, starting with p = 1 in this number sequence
A LaTex expression showing p to the power of 2 + 3
a
3, 6, 11
b
3, 12, 27
c
4, 11, 30
d
3, 12, 27
e
4, 7, 12
f
1, 4, 9