SOLUTION: Arithmetic Sequence Problem: How many times will a clock strike in one week if it strikes the appropriate number of times in each hour?

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Question 982202: Arithmetic Sequence Problem:
How many times will a clock strike in one week if it strikes the appropriate number of times in each hour?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
At 12:00 Midnight ("Saturday night", actually beginning Sunday morning),
the clock strikes 12 times.
At 1 AM Sunday morning it strikes 1 time.
At 2 AM Sunday morning it strikes 2 times.
...

At 11 AM Sunday morning it strikes 11 times.

That's the sum of the integers 1 through 12.

S%5Bn%5D=expr%28n%2F2%29%28a%5B1%5D%2Ba%5Bn%5D%29

S%5B12%5D=expr%2812%2F2%29%281%2B12%29

S%5B12%5D=6%2A13

s%5B12%5D=78

It strikes 78 times twice a day for 7 days. 

That's 14x78 = 1092 times a week that it strikes.

Edwin