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3. The number of visitors to a website in the first week is 50. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 wk? Show your work.

Respuesta :

chloker
week 1=50
week 2= 50×2=100
week 3=100×2=200
week 4=200×2=400
week 5=400×2=800
week 6=800×2=1600
week 7=1600×2=3200
week 8=3200×2=6400
so the answer is 6400

Total number of visitors to the website in the first eight weeks is equals to [tex]12,750.[/tex]

What is number ?

" Number is defined as the count of the given quantity as per given condition."

Formula used

Geometric progression

[tex]a, ar, ar^{2}, ............., ar^{n}[/tex]

nth term =  [tex]ar^{n-1}[/tex]

[tex]a=[/tex] first term

[tex]r=[/tex] common ratio

Sum of first n terms of geometric progression

[tex]S_{n} =\frac{a(r^{n}-1) }{(r-1)} , r > 1[/tex]

According to the question,

Number of visitors on the first week [tex]'a' = 50[/tex]

Number of visitors double each week compare to previous week

[tex]r=2[/tex]

Substitute the value in the formula to total number of visitor in first eight weeks,

[tex]S_{8} =\frac{50(2^{8}-1) }{(2-1)} ,2 > 1[/tex]

    [tex]= \frac{50(256-1)}{1}\\ \\= 50(255)\\\\= 12,750[/tex]

Hence, total number of visitors to the website in the first eight weeks is equals to [tex]12,750.[/tex]

Learn more about number here

https://brainly.com/question/17429689

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