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Alex Ar [27]
4 years ago
11

Identify whether the series is a convergent or divergent geometric series and find the sum, if possible.

Mathematics
2 answers:
Svetach [21]4 years ago
6 0

Answer:

Step-by-step explanation:

There is a series given which can be written in expanded form as

16+16(5)+16(5^2)+....

16 is a common factor to all

Hence

=16(1+5+5^2+5^3+...+5^n+...)

We find that this is a geometric series with I term =1 and common ratio = 5

Since 5, the common ratio is >1, the infinite series sum will diverge

Hence the series is a geometric series with infinite sum diverging.

Correct answer is:

This is a divergent geometric series. The sum cannot be found.

nataly862011 [7]4 years ago
3 0
This is a divergent geometric series. the sum cannot be found
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sergeinik [125]
First set up a proportion
240/160 = 320/200
Cross multiply and if the left equals the right it is similar.

5 0
3 years ago
20 POINTS!!!
choli [55]

Hello from MrBillDoesMath!

Answer:

x = 0, 7

Discussion:

f(g(x)) =

f ( x^2-7x) =

1/ ( x^2 - 7x)


The points NOT in the domain are those where the denominator,  x^2 - 7x = 0.

x^2 - 7x   = 0       =>       factor x from each term

x(x-7) = 0            =>        one or both terms must each 0

x = 0 or x =7


Thank you,

MrB


6 0
3 years ago
Question 101 points)
maw [93]

Answer:

\large\boxed{y=-\dfrac{2}{3}x+\dfrac{13}{3}}

Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\===============================

\text{We have the point:}\\\\(5,\ 1)\ \text{and}\ (-4,\ 7).\ \text{Substitute:}\\\\m=\dfrac{7-1}{-4-5}=\dfrac{6}{-9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}\\\\\text{We have the equation in form:}\\\\y=-\dfrac{2}{3}x+b\\\\\text{Put the coordinates of the point (5, 1) to the equation:}\\\\1=-\dfrac{2}{3}(5)+b\\\\1=-\dfrac{10}{3}+b\qquad\text{add}\ \dfrac{10}{3}\ \text{to the both sides}\\\\\dfrac{3}{3}+\dfrac{10}{3}=b\to b=\dfrac{13}{3}\\\\\text{Finally:}\\\\y=-\dfrac{2}{3}x+\dfrac{13}{3}

4 0
3 years ago
Can someone please give me the answer to these two?
Radda [10]

Answer:

3: D - Undefined

4: A - 1

Step-by-step explanation:

For Question 3 your answer is D, undefined, because it does not have a slope, a slope is like a hill, but that just goes straight up, thus it is undefined.

For Question 4 your answer is A, 1, because it moves one digit to the right and then 1 digit up, Thus that is your answer.

6 0
3 years ago
Vectors...<br><br> Let u = &lt;-3, -5&gt;, v = &lt;-3, 1&gt;. Find u + v.
Anni [7]
-3 + -3 = 0
-5 + 1 = -4
vector = < 0,-4 >
3 0
3 years ago
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