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.

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Number Sequences - Polynomial, First Terms Worksheet

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Number Sequences - Polynomial, First Terms
1
What are the first 3 terms, starting with d = 1 in this number sequence
A LaTex expression showing 8d + 4 - 4d to the power of 2
a
0, -4, -16
b
-4, -28, -68
c
8, 4, -8
d
8, 20, 40
e
-16, -36, -64
f
-8, -28, -56
2
What are the first 3 terms, starting with m = 1 in this number sequence
A LaTex expression showing 5 - 9m - 3m to the power of 2
a
-17, -35, -59
b
-4, -31, -76
c
1, 1, -5
d
-5, -23, -59
e
-7, -25, -49
f
-7, -43, -103
3
What are the first 3 terms, starting with p = 1 in this number sequence
A LaTex expression showing 7p + 8 - 8p to the power of 2
a
7, 4, -1
b
1, -20, -55
c
7, -10, -43
d
-23, -54, -101
e
-9, -26, -59
f
-7, -38, -85
4
What are the first 3 terms, starting with y = 1 in this number sequence
A LaTex expression showing 4 - 2y - 6y to the power of 2
a
2, -4, -14
b
-4, -8, -16
c
-8, -24, -52
d
-4, -28, -68
e
-12, -32, -64
f
-4, -24, -56
5
What are the first 3 terms, starting with r = 1 in this number sequence
A LaTex expression showing 4r + 9 - 6r to the power of 2
a
-1, -23, -57
b
5, -7, -27
c
-11, -25, -51
d
7, -7, -33
e
7, 1, -9
f
-19, -41, -75
6
What are the first 3 terms, starting with y = 1 in this number sequence
A LaTex expression showing 4 - 4y - 9y to the power of 2
a
-9, -40, -89
b
-9, -48, -113
c
0, -12, -32
d
-4, -12, -28
e
-17, -48, -97
f
-9, -32, -73
7
What are the first 3 terms, starting with z = 1 in this number sequence
A LaTex expression showing 8 - 5z - 8z to the power of 2
a
-5, -34, -79
b
-8, -18, -38
c
3, -12, -37
d
-21, -50, -95
e
-11, -30, -65
f
-5, -44, -109
8
What are the first 3 terms, starting with z = 1 in this number sequence
A LaTex expression showing 4z + 6 - 6z to the power of 2
a
4, -10, -36
b
2, -10, -30
c
-8, -22, -48
d
-4, -26, -60
e
4, -2, -12
f
-16, -38, -72