Alarge grandfather clock strikes its bell once at 1: 00, twice at 2: 00, three times at 3: 00, etcetera. what is the total number of times the bell will be struck in a day? use an arithmetic series to solve the problem and show how you arrived at your answer.

There is a formula for adding consecutive integers.
sum = (n * (n+1)) / 2
for summing 1 through 12 it is
sum = (12 * 13) / 2 = 156/2 = 78
The clock goes through two "12-hour cycles" in a day, so the answer is 2 * 78 or 156 times.

300 times per day.

Step-by-step explanation:

Basically, to solve this problem we just have to sum:

But, using an arithmetic series, we have to use this formula:

Where, is the total number of elements (in this case is 24), is the first element (1) and is the last element (24), because a day has 24 hours.

So, replacing all variables, we have:

Therefore, the bell will be struck 300 times per day.

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