Answer:
Option C)
for
is not the correct way to define the given infinite sequence

Step-by-step explanation:
Given infinite sequence is 
Option B)
for
is not the correct way to define the given infinite sequence 
Now verify
for
is true for the given infinite sequence
That is put n=1,2,3,.. in the above function

When n=1, 


When n=2, 


When n=3, 


and so on.
Therfore
for
is not the correct way to define the given infinite sequence

Therefore option C) is correct
9514 1404 393
Answer:
a) 1/2
b) 1/2
Step-by-step explanation:
a) The average rate of change is the slope of the segment whose end points are the ends of the interval. On the interval [2, 8] the average rate of change is ...
m = (f(8) -f(2))/(8 -2) = (4 -1)/6 = 3/6 = 1/2
The average rate of change on the interval [2, 8] is 1/2.
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b) In this context, "slope" and "average rate of change" mean the same thing. A line with the same slope will have a slope of 1/2.