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
Answer:7g=21
Step-by-step explanation:
He ate 2/3 of the pizza in half an hour so to eat 1/3 of the pizza it to 15 minutes so the answer is 45 minutes
2 or 3 caps = 13
6 or 7 caps = 6
13 - 6 = 7
