The distance from St. Louis, Missouri, to Los Angeles, California, is 1596 miles. Michael plans to travel half the distance on the first day and half the remaining distance each day after that. Write a series in summation notation for the total distance he will travel in 5 days. How far will Michael travel in the 5 days? Round to the nearest thousandth.
a) summation series?
b) total distance traveled? ______ miles

Question

The distance from St. Louis, Missouri, to Los Angeles, California, is 1596 miles. Michael plans to travel half the distance on the first day and half the remaining distance each day after that. Write a series in summation notation for the total distance he will travel in 5 days. How far will Michael travel in the 5 days? Round to the nearest thousandth.
a) summation series?
b) total distance traveled? ______ miles

tkhunny · Answer

1596 * (1/2 + 1/4 + 1/8 + 1/16 + 1/32)

Now, for the summation notation...