This question pertains to #18 chapter 1 in the Fundamentals ofPhysics 8th editio

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This question pertains to #18 chapter 1 in the Fundamentals ofPhysics 8th edition. The question reads: Because the earth's rotation is gradually slowing, the lengthof each day increases: The day at the end of 1.0 century is 1.0mslonger than the day at the start of the century. In 20centuries, what is the total of the daily increases in time? The answer is worked out, but I don't understand one of thesteps. I can see that after 20 centuries the day would haveincreased 20 ms. But in the next step, 20ms is added to zeroand divided by two. I don't understand why this isdone. This question pertains to #18 chapter 1 in the Fundamentals ofPhysics 8th edition. The question reads: Because the earth's rotation is gradually slowing, the lengthof each day increases: The day at the end of 1.0 century is 1.0mslonger than the day at the start of the century. In 20centuries, what is the total of the daily increases in time? The answer is worked out, but I don't understand one of thesteps. I can see that after 20 centuries the day would haveincreased 20 ms. But in the next step, 20ms is added to zeroand divided by two. I don't understand why this isdone.

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