SOLUTION: a clock strikes once at 1 o' clock, twice at 2 o' clock, three times at 3 o' clock, and so on. how many times during the day does the clock strike. solve using arithmetic series

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Question 1114307: a clock strikes once at 1 o' clock, twice at 2 o' clock, three times at 3 o' clock, and so on. how many times during the day does the clock strike.
solve using arithmetic series
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
12+1+2+3+4+5+6+7+8+9+10+11+12+1+2+3+4+5+6+7+8+9+10+11

That's the same as the sum of the sequence of consecutive
integers 1 through 12 multiplied by 2



n=12, a1 = 1, an = a12 = 12:





78 times in the AM and 78 times in the PM, or 2×78 = 156 times a day.

Edwin
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