Find an explicit formula for the sequence 30\,,\,150\,,\,750\,,\,3750,...30,150,750,3750,...30, space, comma, space, 150, space,
OverLord2011 [107]
The series shown is an geometric series and the explicit formula is given by:
an=ar^(n-1)
where
a=first term
n=number of terms
r=common ratio
from the sequence:
a=30
r=5
thus the explicit formula will be:
an=30(5)^(n-1)
hence the answer is:
an=30(5)^(n-1)
The answer is 59.6 because I divided 298 by 5
Hope this helps!!
divide total amount by number of days
425 / 14 = 30.36 per day
It should look like this.
A=(απr^2)/360=(απd^2)/1440 (r^2=d^2/4)
α=1440A/(πd^2)
s=απd/360 (where s=arc length) so
s=(1440Aπd)/(360πd^2)
s=4A/d and since A=10mi^2 and d=20mi
s=(4*10)/20
s=2 miles