The amount that it rises each minute forms a geometric sequence...
a(n)=ar^(n-1), and we know that a=100 ft and r=1/2 so
a(n)=100(1/2)^(n-1)
And the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r)
s(n)=100(1-0.5^n)/(1-0.5)
s(n)=200(1-0.5^n)
So we can call these sums the height function
h(t)=200(1-0.5^t)
So after 5 minutes...
h(5)=200(1-0.5^5)
h(5)=193.75 ft
For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:
Where:
p: It is the perimeter of the base
S: It's the inclination
It is the area of the base
Substituting:
ANswer:
Option B
Answer:
447451 miles
Step-by-step explanation:
a mile is 5820 feet or 69840 inches. 500,000,000,000/16 and then divide that by 5820
