MATH
posted by MIKE on .
A Science instrutor assigns his student one second of home work..the first week of school,two seconds. the second week four seconds, the third.if the student asked whether he would agree to this weekly homework doubling for the duration of the 36week school year.how much homework in hours would this plan require in week 36?

Make a list:
week time cumulative time(seconds)
1....1........1
2....2........3
3....4........7
4....8.......15
5...16.......31
6...32.......63
.......
10..512.....1023
....
20.524288...1048575
....
If you check the numbers, you will find that the number of seconds of homework for week "n" is 2^(n1).
With a calculator in hand, it won't be long for you to find out that after the 16th week, the student will spend the whole week, day and night, doing homework. 
Additional help throughout the 36 weeks.Thanks!

You're welcome any time, 36 weeks or not!