SOLUTION: A math teacher offers to assign 1 second of homework the first week of school, 2 seconds the second week, 4 seconds the third week & so on....if the amount of homework doubles ever

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Question 1136576: A math teacher offers to assign 1 second of homework the first week of school, 2 seconds the second week, 4 seconds the third week & so on....if the amount of homework doubles every week is this something you would agree to for the duration of the 36 weeks school year?
Write a recursive & explicit formula for the situation described, let us defined week 1 as n=0
How many hours would you be spending on homework at the end of 36 weeks (n=35) would you agree to this?

Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.
24 hours 7 days per week is 3600*24*7 seconds = 604800 seconds.



log%282%2C%28604800%29%29 = 19.2


So, just 21-th week (the entire week !) would be not enough to do this homework, even if you work 24 hours 7 days per week.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +h%28n%29+ = hrs of homework in week +n+=+35+
+h%28n%29+=+2%5En+
+h%2835%29+=+2%5E35+
+h%2835%29+=+3..435973837%2A+10%5E10+
If I divide this by +24%2A365+, that is
3,922,345 years of homework on the last day