the Johnson's pay $9.95 a month plus $.035 per min for local phone service. last month, they paid $12.75. How many minutes of lo
1 answer:
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Answer: The correct option is
(d) This is a divergent geometric series. The sum cannot be found.
Step-by-step explanation: The given infinite geometric series is
We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.
We have the D' Alembert's ratio test, states as follows:
Let, is an infinite series, with complex coefficients
and we consider the following limit:
Then, the series will be convergent if L < 1 and divergent if L > 1.
For the given series, we have
So, the limit is given by
Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.
Thuds, (d) is the correct option.
The table models an exponential relationship, and the equation of the table is
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
When x = 0 and y = 4, we have
Evaluate
a = 4
When x = 1 and y = 2, we have
Evaluate
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in
Hence, the equation of the table is
Read more about exponential models at:
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