In the first hour of the snow storm is snowed two and one half inches. In the second hour, two and three-fourths inches had fallen. In the third hour, two inches fell. Every hour after, half as much snow fell as had the hour before. So for instance, in hour four, one inch, and then in the fifth hour, half as much fell.
Answers (1)
Let's assume that the snow storm starts at exactly 0.00a.m. After the 10th hour will have passed, it'll be 10:00am.
Convert the given heights of snow from the first three hours to decimals:
.1st h : 2.5in
2nd h : 2.75in
.3rd h : 2.0in
sums up to: 7.25 inches snow in the first 3 hours.
In the 3rd hour 2 inches fell. For the following 7 hours, from 3:00 to 10:00, holds: each hour produces half of the snow than the preceding hour. From 1 to 7 is the same as from 0 to 6.
sum (from k=0 to 6 for (1 / 2^k)) = (2^(k+1) -1) / 2^k = 127 / 64 = 1.984in.
And 7.25 + 1.984 = 9.234 inches snow after 10 hours