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.

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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 - Intro' Learn online: app.mobius.academy/math/units/patterns_and_sums_intro/
1
What sequence, starting with n = 1, are these the first 3 terms of?
10, 32, 64
a A LaTex expression showing 5n to the power of 2 + 7n - -1
b A LaTex expression showing 5n to the power of 2 + 7n - 2
c A LaTex expression showing 3n to the power of 2 + 7n - 2
d A LaTex expression showing 4n to the power of 2 + 7n - 2
e A LaTex expression showing 6n to the power of 2 + 7n - 2
f A LaTex expression showing 5n to the power of 2 + 7n - 3
2
What sequence, starting with y = 1, are these the first 3 terms of?
1, -11, -31
a A LaTex expression showing 5 - 4y to the power of 2
b A LaTex expression showing 4 - 4y to the power of 2
c A LaTex expression showing 7 - 4y to the power of 2
d A LaTex expression showing 6 - 4y to the power of 2
e A LaTex expression showing 3 - 4y to the power of 2
f A LaTex expression showing 5 - 1y to the power of 2
3
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 4p to the power of 2 + 2p + 5
c A LaTex expression showing 6p to the power of 2 + 2p + 7
d A LaTex expression showing 6p to the power of 2 + 2p + 5
e A LaTex expression showing 6p to the power of 2 + 2p + 3
f A LaTex expression showing 7p to the power of 2 + 2p + 5
4
What sequence, starting with n = 1, are these the first 3 terms of?
4, -2, -12
a A LaTex expression showing 6 - 3n to the power of 2
b A LaTex expression showing 3 - 2n to the power of 2
c A LaTex expression showing 6 - 2n to the power of 2
d A LaTex expression showing 7 - 2n to the power of 2
e A LaTex expression showing 6 - -1n to the power of 2
f A LaTex expression showing 5 - 2n to the power of 2
5
What sequence, starting with z = 1, are these the first 3 terms of?
2, 17, 40
a A LaTex expression showing 4z to the power of 2 + 3z - 2
b A LaTex expression showing 4z to the power of 2 + 3z - 5
c A LaTex expression showing 4z to the power of 2 + 3z - 3
d A LaTex expression showing 4z to the power of 2 + 3z - 6
e A LaTex expression showing 4z to the power of 2 + 4z - 5
f A LaTex expression showing 4z to the power of 2 + 1z - 5
6
What sequence, starting with y = 1, are these the first 3 terms of?
-1, -22, -57
a A LaTex expression showing 6 - 7y to the power of 2
b A LaTex expression showing 6 - 8y to the power of 2
c A LaTex expression showing 4 - 7y to the power of 2
d A LaTex expression showing 5 - 7y to the power of 2
e A LaTex expression showing 6 - 6y to the power of 2
f A LaTex expression showing 6 - 9y to the power of 2
7
What sequence, starting with r = 1, are these the first 3 terms of?
-1, -13, -33
a A LaTex expression showing 5 - 4r to the power of 2
b A LaTex expression showing 3 - 6r to the power of 2
c A LaTex expression showing 2 - 4r to the power of 2
d A LaTex expression showing 3 - 4r to the power of 2
e A LaTex expression showing 3 - 2r to the power of 2
f A LaTex expression showing 1 - 4r to the power of 2
Number Sequences Identify - Polynomial, First Terms (Level 2) - Mobius Math Academy