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Number Sequences - Polynomial, First Terms (Level 3)

This math topic focuses on determining the first three terms of polynomial sequences. Each problem provides a polynomial expression and students must substitute the starting values for a specific variable into the polynomial to find the sequence's initial terms. This set of problems assists students in practicing their skills in polynomial manipulation, understanding sequence patterns, and computing sequence terms based on given polynomial rules. This not only enhances their algebraic skills but also bolsters their understanding of pattern recognition within mathematical sequences.

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 c = 1 in this number sequence

7c+2−5c27c + 2 - 5c^2

Number Sequences - Polynomial, First Terms Worksheet

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Math worksheet on 'Number Sequences - Polynomial, First Terms (Level 3)'. Part of a broader unit on 'Patterns and Sums - Practice' Learn online: app.mobius.academy/math/units/patterns_and_sums_practice/
1
What are the first 3 terms, starting with r = 1 in this number sequence
A LaTex expression showing 8 - 6r - 2r to the power of 2
a
-4, -4, -8
b
-8, -20, -44
c
-16, -28, -44
d
0, -24, -64
e
2, -16, -46
f
0, -12, -28
2
What are the first 3 terms, starting with d = 1 in this number sequence
A LaTex expression showing 2d + 8 - 3d to the power of 2
a
-9, -16, -29
b
-13, -24, -41
c
7, 4, -1
d
7, 0, -13
e
6, 0, -10
f
3, -8, -25
3
What are the first 3 terms, starting with c = 1 in this number sequence
A LaTex expression showing 3 - 7c - 6c to the power of 2
a
-3, -17, -45
b
-10, -35, -72
c
-2, -13, -36
d
-16, -41, -78
e
-10, -49, -114
f
-4, -25, -60
4
What are the first 3 terms, starting with m = 1 in this number sequence
A LaTex expression showing 6 - 3m - 7m to the power of 2
a
-10, -28, -60
b
3, -6, -21
c
-16, -40, -78
d
-4, -28, -66
e
-6, -12, -24
f
-4, -34, -84
5
What are the first 3 terms, starting with c = 1 in this number sequence
A LaTex expression showing 2c + 2 - 6c to the power of 2
a
-6, -26, -58
b
-2, -18, -46
c
0, -6, -16
d
-6, -22, -50
e
-10, -30, -62
f
-2, -14, -34
6
What are the first 3 terms, starting with m = 1 in this number sequence
A LaTex expression showing 6m + 6 - 3m to the power of 2
a
-3, -18, -39
b
-15, -30, -51
c
0, -18, -48
d
-3, -6, -15
e
9, 6, -3
f
9, 18, 33
7
What are the first 3 terms, starting with c = 1 in this number sequence
A LaTex expression showing 7c + 2 - 5c to the power of 2
a
-5, -26, -61
b
4, 10, 20
c
0, -8, -26
d
4, -4, -22
e
-14, -36, -68
f
-10, -32, -64