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Number Sequences - Polynomial, First Terms (Level 2)

This math topic focuses on identifying the first three terms of polynomial sequences. Each question presents a polynomial expression and asks for the sequence values when a variable starts at 1. The problems are designed to practice solving polynomial expressions, enhancing understanding of concepts like sequence generation and polynomial evaluation. The task not only tests arithmetic skills but also deepens comprehension of advanced pattern recognition in sequences. The topic belongs to a broader unit on advanced number patterning, helping learners develop their ability to analyze and compute terms in sequences effectively.

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

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Number Sequences - Polynomial, First Terms

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

9m2+4m−39m^2 + 4m - 3

Number Sequences - Polynomial, First Terms Worksheet

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Math worksheet on 'Number Sequences - 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 are the first 3 terms, starting with r = 1 in this number sequence
A LaTex expression showing 5r to the power of 2 - 8r + 3
a
13, 45, 93
b
0, 7, 24
c
16, 39, 72
d
0, -9, -24
e
-3, 13, 45
f
-3, 13, 45
2
What are the first 3 terms, starting with z = 1 in this number sequence
A LaTex expression showing 8z to the power of 2 - 2z + 4
a
10, 32, 70
b
-4, 0, 8
c
10, 28, 58
d
0, 8, 20
e
-4, 0, 8
f
14, 40, 82
3
What are the first 3 terms, starting with r = 1 in this number sequence
A LaTex expression showing 2r to the power of 2 + 9r - 3
a
8, 23, 42
b
-10, -13, -12
c
-4, -7, -6
d
8, 41, 96
e
12, 39, 84
f
14, 29, 48
4
What are the first 3 terms, starting with x = 1 in this number sequence
A LaTex expression showing 4x to the power of 2 + 6x + 7
a
3, 21, 47
b
5, 11, 25
c
13, 31, 61
d
17, 35, 61
e
-9, -3, 11
f
17, 47, 97
5
What are the first 3 terms, starting with m = 1 in this number sequence
A LaTex expression showing 9m to the power of 2 + 4m - 3
a
10, 49, 114
b
10, 41, 90
c
8, 31, 72
d
7, 19, 39
e
2, 25, 66
f
16, 47, 96
6
What are the first 3 terms, starting with m = 1 in this number sequence
A LaTex expression showing 4m to the power of 2 + 3m + 6
a
9, 18, 33
b
-5, 4, 21
c
7, 16, 33
d
1, 16, 39
e
13, 34, 69
f
13, 28, 51
7
What are the first 3 terms, starting with y = 1 in this number sequence
A LaTex expression showing 2 - 8y to the power of 2
a
-6, -30, -70
b
-8, 16, 56
c
-6, -62, -214
d
-10, -34, -74
e
-10, -16, -26
f
-16, -40, -80