(a) 24
(b) 0.037 ft^3
(c) 0.888
The nth term of any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth term, a=initial term, r=common ratio, n=term number...
We can easily see that the first term, a=-8
The common ratio is 4/-8=-2/4=1/-2=r=-1/2 so the rule is:
a(n)=-8(-1/2)^(n-1) so the tenth term is:
a(10)=-8(-1/2)^(10-1)
a(10)=-8(-1/2)^9
a(10)=1/64
Answer:
a). L=53+3 D.... equation
b). Total length of the road after the crew has worked 31 days=146 miles
Step-by-step explanation:
Step 1
Find an expression for calculating the total length of a the road as follows;
L=F+(M×D)
where;
L=total length of the road in miles
F=starting length of the road in miles
M=number of miles per day added
D=number of days the crew has worked
In our case;
L=unknown
F=53 miles
M=3 miles per day
D=unknown
L=53+(3×D)
L=53+3 D.... equation
Solve for L when D=31 days
L=53+(3×31)
L=53+93=146
Total length of the road after the crew has worked 31 days=146 miles
-3h=18-27h
24h=18
H=3/4 or 0.75
The answer is C. it will be less than 2.7
2.7*0.1 is 0.27
