Posted by **MIKE** on Friday, April 15, 2011 at 7:19am.

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 36-week school year.how much homework in hours would this plan require in week 36?

- MATH -
**MathMate**, Friday, April 15, 2011 at 10:20am
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^(n-1).

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.

- MATH -
**MIKE**, Friday, April 15, 2011 at 1:28pm
Additional help throughout the 36 weeks.Thanks!

- MATH -
**MathMate**, Friday, April 15, 2011 at 2:24pm
You're welcome any time, 36 weeks or not!

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