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Laabri

6.1 Exploring Geometric Sequences (Due 3/326)

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Last updated 4 months ago
19 Nsɛmmisa

Main Idea: Geometric Sequences

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Is It Geometric?

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Next Three Terms

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Essential Question: What are Geometric Sequences?


Learning Target: Students will be able to determine if a sequence is geometric by interpreting the data from the series.


Complete the entire assignment and show work for full credit.


Responses with no work shown will receive no credit.


When answering question that require writing, use complete sentences that are in your own words.

Review: Aritmetic Sequences

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8.

Compare and contrast arithmetic and geometric sequences.

Name on similarity between arithmetic and geometric sequences.

Name one difference between arithmetic and geometric sequences

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9.

Determine whether this sequence is geometric. If yes, identify the common ratio.

4, 12, 36, 108, ...

The first term is

The second term is

Is this a geometric sequence? (yes or no)

What is the common ratio? (If it is not a sequence state n/a)

r=

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10.

Determine whether this sequence is geometric. If yes, identify the common ratio.

1, -4, 16, -64, ...

The first term is

The second term is

Is this a geometric sequence? (yes or no)

What is the common ratio? (If it is not a sequence state n/a)

r=

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11.

Determine whether this sequence is geometric. If yes, identify the common ratio.

5, 10, 15, 20, ...

The first term is

The second term is

Is this a geometric sequence? (yes or no)

What is the common ratio? (If it is not a sequence state n/a)

r=

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12.

Determine whether this sequence is geometric. If yes, identify the common ratio.

50, 30, 18 , ...

The first term is

The second term is

Is this a geometric sequence? (yes or no)

What is the common ratio? (If it is not a sequence state n/a)

r=

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13.

Determine whether this sequence is geometric. If yes, identify the common ratio.

625, 125, 25, 5, ...

The first term is

The second term is

Is this a geometric sequence? (yes or no)

What is the common ratio? (If it is not a sequence state n/a)

r=

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14.

Given the geometric sequence, find the next three terms.

What is the ratio?

r=

3, 6, 12, , ,

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15.

Given the geometric sequence, find the next three terms.

What is the ratio?

r=

7, -21, 63, , ,

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16.

Given the geometric sequence, find the next three terms.

4, -8, 16, , ,

Learning Log

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17.

Essential Question:

What was the Essential Question of this assignment?

(Use complete sentences for full credit)

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18.

Learning Outcomes

How do you find the ratio of a geometric sequence?

(Use complete sentences for full credit)

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19.

1 Question I have.

1 question I have is...

(Must be a question)

OR

What was the hardest part of the assignment?

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1.

Find the next three terms of each sequence.

3, 7, 11, 15, , ,

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2.

Find the next three terms of each sequence.

22, 20, 18, 16, , ,

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3.

Find the next three terms of each sequence.

-2, -5, -8, -11, , ,

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4.

Find the first term and common difference in this sequence:

1, 3, 5, 7, ...

a₁=

d=

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5.

Write the explicit formula to find the nᵗʰ term of this sequence (you can use either notation):

1, 3, 5, 7, ...

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6.

Create an explicit formula to find the 24ᵗʰ term of this sequence:

7, 13, 19, 25, ...

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7.

Use the explicit formula you created from the last problem to find the 24ᵗʰ term of this sequence:

7, 13, 19, 25, ...