Answer:k/22 =-66
k=-1,452
Step-by-step explanation:
Distributive Property is factors a common term by the items that are inside parenthesis.
3(2x + 5)
3 = Factor
3(2x + 5)
2x and 5 = terms
3(2x + 5)
2 = coefficient
The coefficient is the number before the variable.
<em>Ace</em>
Answer:
745.31
Step-by-step explanation:
1. 12.5^2 * 2 = 312.5
2. (3,14 * 156,25)/2 = 245.31
3. (30 * 12.5)/2 = 187.5
4. 187.5 + 245.31 + 312.5 = 745.31
The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.
<h3>Find the radius of convergence R and the interval of convergence:</h3>
Ratio test is the test that is used to find the convergence of the given power series.
First aₙ is noted and then aₙ₊₁ is noted.
For ∑ aₙ, aₙ and aₙ₊₁ is noted.
= β
- If β < 1, then the series converges
- If β > 1, then the series diverges
- If β = 1, then the series inconclusive
Here
=
and
= 
Now limit is taken,
= 
= 
= 
= 
=
< 1
- 1 <
< 1
- 1 - 2 < x < 1 - 2
- 3 < x < - 1
We get that,
interval of convergence = (-3, -1)
radius of convergence R = 1
Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.
Learn more about radius of convergence here:
brainly.com/question/14394994
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