Illustrative Mathematics | v.360 Curriculum

Problem 1

Student Task Statement

A sequence is defined by for .

Explain why .
Explain why .
Complete this expression: . Explain your reasoning.

to access Practice Problem Solutions.

Problem 2

Student Task Statement

A sequence is defined by for . Write a definition for the term of the sequence.

Problem 3

ForLesson 7: Representing More Sequences

Student Task Statement

Here is the recursive definition of a sequence: for .

Find the first 5 terms of the sequence.
Graph the value of the term as a function of the term number.
Is the sequence arithmetic, geometric, or neither? Explain how you know.

<p>Blank coordinate plane with grid, origin O. Horizontal axis from 0 to 6 by 1’s, labeled “term number”. Vertical axis from 0 to 60 by 5’s, labeled “value”.</p>

Problem 4

ForLesson 6: Representing Sequences

Student Task Statement

Here is a graph of sequence . Use function notation to define recursively.

Problem 5

ForLesson 5: Sequences Are Functions

Student Task Statement

Write the first five terms of each sequence. Determine whether each sequence is arithmetic, geometric, or neither.

for
for
for
for

Problem 6

ForLesson 7: Representing More Sequences

Student Task Statement

Here is the graph of a sequence:

Is this sequence arithmetic or geometric? Explain how you know.
List at least the first five terms of the sequence.
Write a recursive definition of the sequence.

<p>Graph of sequence on coordinate plane.</p>

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Problem 1

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Problem 2

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Problem 3

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Problem 4

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Problem 5

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Problem 6

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Lesson 8 Resources