Sequence: 5/2, 5/4, 5/8, 5/16
a8=?
a1=5/2
a2=5/4
a3=5/8
a4=5/16
a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2
an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n
n=8→a8=5/2^8
a8=5/256
Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
Use the equation and type the ordered-pairs. y = log 3 x {(1/3, a0), (1, a1), (3, a2), (9, a3), (27, a4), (81, a5)
vagabundo [1.1K]
Answer:
Considering the given equation 
And the ordered pairs in the format 
I don't know if it is log of base 3 or 10, but I will assume it is 3.
For 


So the ordered pair will be 
For 


So the ordered pair will be 
For 


So the ordered pair will be 
For 


So the ordered pair will be 
For 


So the ordered pair will be 
For 


So the ordered pair will be 
Answer:
0.375 feet.
Step-by-step explanation:
Multiply .25 by 1.5 to get 0.375.
Answer: 8 is the slope
Step-by-step explanation:
Y-7=8(x-14)
Y-7= 8x-112
Y= 8x -105