Sum of A Geometric Series Tool Modeling Viral Videos Questions This is a Alg2 assignment. I have attached the word doc to complete.

This assignment came with a very short video presentation. You DO NOT

have access to the video, so I have include the transcript of the video

to help you complete. It is pretty simple and will not require more than

an hour or so of time. Thank you in advance for accurate information. Attached is a pdf of the transcript of the video then a photo of the Sum of a Geometric Series Tool, then the actual questions that need to be answered. 6/4/2019

Transcript: Modeling: Viral Videos

Transcript: Modeling: Viral Videos

This interactive animation shows some text on-screen and an image of a small brown dog wearing

glasses and reading a book, as well as an image of a striped kitten playing with a cat toy. The images

of animals can be separately clicked to reveal more information. When an image is clicked, a

“swoosh” noise is heard.

A Partial Sums Tool is also shown that can be used to calculate the summation.

This interactive tool shows blanks that information can be entered into to calculate the summation.

The blanks shown are:

First Term ( ):

Ratio (r):

Number of Terms (n):

The summation formula

is also shown, and then there is a

equals blank where the

answer appears.

On-screen text:

Two of your friends have uploaded videos of their pets to the Web for a video contest. The winner is

the video with the most views after two weeks. They know how many people have seen their videos

on each of the first four days and want to predict how many views they will have by the end of the

contest. Use what you know about geometric sequences to help one of them figure out the total

viewership.

Dog: Hilarious choice! The following chart shows how many people saw the video of your friend’s dog

on the first four days it was online. [A chart is shown with the following data:]

Day: Viewers

1: 500

2: 751

3: 1124

4: 1688

In your assignment, you will use the Sum of a Geometric Series Tool and your knowledge of geometric

sequences to model how many people will see the video over two weeks.

Kitten: Adorable choice! The following chart shows how many people saw the video of your friend’s

kitten on the first four days it was online. [A chart is shown with the following data:]

Day: Viewers

1: 25

2: 77

3: 226

4: 680

In your assignment, you will use the Sum of a Geometric Series Tool and your knowledge of geometric

sequences to model how many people will see the video over two weeks.

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Practice Assignment

Modeling: Viral Videos

Algebra II

Your Assignment: Viral Videos

Two of your friends have uploaded videos of their pets for an online video contest! They know how many people

have seen their videos on the first 4 days, and they want to predict how many people will watch the videos before

the contest ends in 2 weeks.

In this assignment, you will choose one of the videos, use the Sum of a Geometric Series Tool and your

knowledge of geometric sequences to model how many people have seen the video, and help your friend predict

the total number of viewers for the video.

Is there a pattern?

1. Complete the following table: (1 point)

Which animal:

Dog or cat

Day

1

2

3

4

Viewers

Common ratio?

2. Is there a relationship between the number of viewers and the days of the contest? If you think there is a

relationship, what kind is it? If you don’t think there is, explain why not. (2 points: 1 point for a valid answer, 1

point for a valid explanation)

The starting value and the growth rate

3. If we treat the list of viewers as a sequence, what is the initial value of the sequence? What is the approximate

common ratio of the terms in the sequence? (Round the common ratio to the nearest tenth.) Use these two

numbers to write an explicit formula for the sequence. (3 points: 1 point for the initial value, 1 point for the

common ratio, and 1 point for the explicit formula)

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4. How can your explicit formula help answer your friend’s question? (2 points)

Finding the geometric sequence and modeling the growing number of viewers

5. Write the number of viewers for the first 4 days in the table below, and then use your explicit formula to

complete the table. (6 points: 1 point each for the daily and total viewers of days 5, 6, and 7)

Day

Daily viewers

Total viewers (partial sums)

1

2

3

4

5

6

7

Using the sum of a series

6. Use the Sum of a Geometric Series Tool to check your answer for the total number of viewers after 7 days.

Then find the total number of viewers at the end of the contest (after 14 days). Include the formula used by the

tool in your answer. (3 points: 1 point for the sum after 7 days, 2 points for the sum after 14 days)

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A new video!

7. Your neighbor joins the contest and posts a video of his puffer fish that has 100 views the first day, 200 views

the second day, and 400 views the third day. Modeling this growth as before, you get the following equation:

If that growth rate continues for the next 14 days, will the puffer fish video have more or fewer views than the

total number of views for your friend’s video? Will you create a table of values or use the Sum of a Geometric

Series Tool to find your answer? Explain which method you will choose, and find out who will win the contest. (3

points: 1 point for the explanation, 1 point for the sum after 14 days, 1 point for the comparison)

.

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