M
Mathematics , 04.08.2022 06:52

You created a blog and after 3
weeks you get your first subscriber. The number of subscribers grows quickly, quadrupling each week afterwards. Excited about your blog's popularity you wonder, how many subscribers will the blog have 12
weeks after you created it?

Step-by-step answers

answer
Answered by an experienced expert Nitin Arora

After 1st week, subscribers = 0

After 2nd week, subscribers = 0

After 3rd week, subscribers = 1

After 4th week, subscribers = 1x4 = 4

After 5th week, subscribers = 4x4 = 4^2 = 4^(5-3) 

After 6th week, subscribers = 4x4x4= 4^3=4^(6-3) 

Therefore, after 12th week, subscribers =

 4^(12-3) = 4^9 = 262144

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