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Bob and Alice have designed and created a website for their high school. The first week they had 5 visitors to the site; the second week, they had 10 visitors; and during the third week, they had 20 visitors. If the trend continues, how many visitors can they expect in the fifth week? Explain your answer.

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Answer: 80

Explanation:

Number of visitors in first week = 5

Number of visitors in second week = 10

Number of visitors in third week = 20

The common ratio here is = 10/5 = 2

The fifth term will be:

= ar^n-1

where,

a = first term = 2

r = ratio = 2

n = number of terms = 5

= 5 × 2^(5-1)

= 5 × 2^4

= 5 × 16

= 80

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