Find formula for how much longer each day is

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Earth's rotation is slowing, resulting in longer days, with each day increasing by approximately 1.0 millisecond per century. Over 53 centuries, this gradual increase accumulates, leading to a total gain in time. To calculate this, one can use the formula for the sum of an arithmetic progression. The discussion emphasizes finding the correct formula to determine the total increase in hours over the specified period. Understanding this concept is essential for accurate calculations of time changes due to Earth's rotational dynamics.
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Because Earth's rotation is gradually slowing, the length of each day increases: The day at the end of 1.0 century is 1.0 ms longer than the day at the start of the century. In 53 centuries, what is the total (in hours) of the daily increases in time (that is, the sum of the gain on the first day, the gain on the second day, etc.)?

Dont have a clue where to start...

_James
 
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Try to find formula for how much longer each day is, then try to calculate sum.
 

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