Answer:
28 non-blue marbles.
Step-by-step explanation:
Initial probability of choosing a blue marble = 4/12
Let the number of non-blue marbles to be added be x.
(cross multiply)
the area of a four square court is 66 square feet. Estimate the side length,s, to the nearest tenth of a foot
1 answer:
You might be interested in
Answer:
The Taylor series is .
The radius of convergence is .
Step-by-step explanation:
<em>The Taylor expansion.</em>
Recall that as we want the Taylor series centered at its expression is given in powers of
. With this in mind we need to do some transformations with the goal to obtain the asked Taylor series from the Taylor expansion of
.
Then,
Now, in order to make a more compact notation write . Thus, the above expression becomes
Notice that, if x is very close from 3, then y is very close from 0. Then, we can use the Taylor expansion of the logarithm. Hence,
Now, substitute in the previous equality. Thus,
<em>Radius of convergence.</em>
We find the radius of convergence with the Cauchy-Hadamard formula:
Where stands for the coefficients of the Taylor series and
for the radius of convergence.
In this case the coefficients of the Taylor series are
and in consequence . Then,
Applying the properties of roots
Hence,
Recall that
So, as we get that
.
For the given geometric sequence, we have:
So the correct option is B.
<h3>Which is the recursive formula?</h3>Here we have the geometric sequence:
To get the initial value of the geometric sequence, we just need to replace n by 1, so we get:
Now, notice that the common ratio is (-1/3), this means that each term of the sequence is (-1/3) times the previous term.
Then the correct option is B.
If you want to learn more about geometric sequences:
#SPJ1