SOLUTION: URGENT HELP!!!!!! i am having trouble solving this problem help If a clock were turned into a twenty four hour clock so that it struck 24 times at midnight, how many t

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Question 689037: URGENT HELP!!!!!!
i am having trouble solving this problem help
If a clock were turned into a twenty four hour clock so that it struck 24 times at midnight, how many times would it strike in the course of a 24 hour day?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
I'll assume that the day starts at the beginning of the 1st
stroke of 24 at midnight, and is over just before it starts 
to strike 24 the second time.  So I will only count the strike
of 24 just once, and not count the striking of 24 at the end. 

S24 = 24+1+2+3+...20+21+22+23

We may as well move the 24 from the left end to the right end. 

S24 = 1+2+3...20+21+22+23+24

Sn = n%2F2(a1 + an) 

n = 24, a1 = 1, an = a24 = 24. 

S24 = 24%2F2(1 + 24)

S24 = 12×25 = 300 times.

Edwin