3846.6818 that’s the answer
Answer: The explicit rule for the geometric sequence is:
an=15 (1/5)^(n-1), for n=1, 2, 3, 4, ...
Solution:
Sequence:
15, 3, 3/5, 3/25
a1=15
a2=3
a3=3/5
a4=3/25
a2/a1=3/15=(3/3)/(15/3)→a2/a1=1/5
a3/a2=(3/5)/3=(3/5)/(3/1)=(3/5)/(1/3)→a3/a2=1/5
a4/a3=(3/25)/(3/5)=(3/25)(5/3)=5/25=(5/5)/(25/5)→a4/a3=1/5
(an)/(an-1)=(1/5)
Solving for an:
an=(1/5) (an-1)
a1=15
n=2→a2=(1/5)(a2-1)=(1/5)(a1)=(1/5)(15)→a2=15 (1/5)
n=3→a3=(1/5)(a3-1)=(1/5)(a2)=(1/5)[(15) (1/5)]=15 (1/5)^(1+1)→
a3=15 (1/5)^2
n=4→a4=(1/5)(a4-1)=(1/5)(a3)=(1/5)[15 (1/5)^2]=15 (1/5)^(2+1)→
a4=15 (1/5)^3
a1=15→a1=15 (1/5)^0=15 (1/5)^(1-1)
a2=15 (1/5)→a2=15 (1/5)^1=15 (1/5)^(2-1)
a3=15 (1/5)^2=15 (1/5)^(3-1)
a4=15 (1/5)^3=15 (1/5)^(4-1)
Then:
an=15 (1/5)^(n-1), for n=1, 2, 3, 4, ...
-To simplify fractions.
Ex. (2x+10)/2 we factor 2 to simplify so 2(x+5)/2=x+5
Answer:
D. Both factors are negative, so the product will be positive.
Answer:
see the explanation
Step-by-step explanation:
we know that
A linear function in slope intercept form is equal to
where
m is the slope or unit rate
b is the y-intercept
x is the independent variable or input value
f(x) is the dependent variable or output value
In this problem we have
where
m is the number of miles
f(m) is the cab company's fare in dollars
we have that
In this context
<em>Slope</em>
The slope or unit rate is equal to the cost per mile for the riders trip
The slope is $3 per mile
<em>Y-intercept</em>
The y-intercept is the cost of the riders trip when the number of miles is equal to zero, also is called the initial value.
The y-intercept is $5