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On the day a video was posted online, 5 people watched
the video. The next day the number of viewers had
doubled. Assume the number of viewers continues to
double each day.

1. On which day will 640 people see the video? Explain or show your reasoning.
2. what strategy would you use to find the first day when more than 20,000 people will see the video (if the trend continues)?

Respuesta :

AlexanderR21830

Answer:

128 days and 4000 days

Step-by-step explanation:

Hence on day 8, 640 views are obtained.

What is series ?

a series is a crude description of the operation of adding infinitely many quantities to a given initial amount one after the other.

A series is systematic way in which  numbers are arranged which are defined  by a particular function.

How to solve?

Given  views  pr day =5

everyday number of views double

hence series becomes=

[tex]=2^{0}*5+2^{1} *5+2^{2} * 5+2^3*5.....[/tex]

[tex]=5+2*5+4*5+8*5+16*5+32*5+64*5+128*5....[/tex]

now 640 people watch video

hence 640=128*5= day 8

Hence on day 8, 640 views are obtained.

Part 2 - To calculate for more than 20000 views one can apply GP FORMULA as the above series is geometric progression.

learn more about SERIES https://brainly.com/question/12006112

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