SOLUTION: A math teacher assigns one second of homework the first week of school, two seconds the second week, four seconds the third week, and so on. The student is aqsked whether she woul
Question 396677: A math teacher assigns one second of homework the first week of school, two seconds the second week, four seconds the third week, and so on. The student is aqsked whether she would agree to this weekly homework doubling for the duration of the 36-week school year. Homw much homework in hours would this plan require in week 36? Found 2 solutions by stanbon, ewatrrr:Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website! A math teacher assigns one second of homework the first week of school, two seconds the second week, four seconds the third week, and so on. The student is aqsked whether she would agree to this weekly homework doubling for the duration of the 36-week school year. Homw much homework in hours would this plan require in week 36?
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1st week: 2^0 seconds
2nd week: 2^1 seconds
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36th week: 2^35 seconds = 3,435974x10^10 seconds
That is more than 1092 years.
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Cheers,
Stan H. Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi
1 hr = 3600 sec or week 13 would be ~ 1hr of homework
Let n represent the number of weeks
1,2,4,8,16,32,64,128,256,512,1024,2048,4096...
a[n] = 2^(n – 1)
a[36] = 2^35 = 34,359,738,368 sec = 9,544,371.7689 hr