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Laabri

Quadratic Tables and Sequences

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Last updated about 4 years ago
12 Nsɛmmisa
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PART 2:

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If you have completed all of the questions and there is still time in class, try this activity on Desmos.

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1.

Determine an explicit function that can be used to find the nth term in this table

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2.

Determine an explicit function that can be used to find the nth term in this table

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3.

Determine an explicit function that can be used to find the nth term in this sequence:

3, 12, 27, 48, 75, ...

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4.

Determine an explicit function that can be used to find the nth term in this sequence:

3, 9, 19, 33, 51, ...

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5.

Challenge Question!

Create your own sequence that represents a quadratic relationship between two quantities and write its explicit function

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6.

The points (0, 3), (1, 4), (2, 7), and (3, 12) are on the graph of a function.

Write an explicit function that can be used to represent the function.

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7.

Consider the sequence below:

-9, -6, -1, 6, 15 …

What explicit expression can be used to find the nth term of this sequence?

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8.

The table below shows a relationship between values of x and y. Write an equation that describes the relationship for the values in the table.

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9.

The points (0, 0), (1, 4), (2, 16), and (3, 36) are on the graph of a function.

Write an explicit function that can be used to represent the function.

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10.

Consider the sequence below:

-2, 1, 6, 13, 22, …

What explicit expression can be used to find the nth term of this sequence?

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11.

Consider the sequence below:

8, 20, 40, 68, 104 …

What explicit expression can be used to find the nth term of this sequence?

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12.

Consider the sequence below:

8, 20, 40, 68, 104 …

What is the 10th term in this sequence?