Find the midpoint of the segment with the following endpoints (-10,-1) and (-6,7)
1 answer:
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Answer:
g(0) > f(0)
Step-by-step explanation:
Evaluate the functions at the point of interest: x=0.
g(0) = 20·1.5^0 = 20·1 = 20
f(0) = -40 . . . . from the table
Since 20 > -40, we conclude ...
g(0) > f(0)
First, we are going to find the common ratio of our geometric sequence using the formula: 
. For our sequence, we can infer that 
and 
. So lets replace those values in our formula:
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
. We know that 
; we also know for our previous calculation that . So lets replace those values in our formula:
Finally, to find the 9th therm in our sequence, we just need to replace
with 9 in our explicit formula:
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
Finally, to find the 9th therm in our sequence, we just need to replace
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>