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2 years ago

Does the infinite geometric series diverge or converge? Explain.

Mathematics

2 answers:

Ludmilka [50]2 years ago

8 0

Answer:

Option D. is the correct option.

Step-by-step explanation:

The given geometric series is 4+12+36+108.......infinite terms

Since any geometric series which is infinite in terms always diverges until unless it is in the form of fraction.

So we can not sum the terms of this series because the size of each term will increase with the number of terms.

Option D is the correct option.

Nadusha1986 [10]2 years ago

4 0

It diverges; it does not have a sum

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Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation repr

Oxana [17]

Answer:

18 children

Step-by-step explanation:

Given

$240 = 12x +8y$

Required (missing part of the question):

Number of children that will be able to go to the zoo if 8 adult tickets are purchased

The graph is missing. However, the question can be solved without the graph.

From the question and equation, we can deduce the following:

x represents adults
y represents children

So, when 8 adult tickets were sold.

This means

$x = 8$

Substitute 8 for x in $240 = 12x +8y$

$240= 12 * 8 + 8y$

$240= 96+ 8y$

Subtract 96 from both sides

$240 - 96 = 96 - 96 + 8y$

$144 = 8y$

$8y = 144$

Solve for y

$y= \frac{144}{8}$

$y= 18$

This means that 18 children will be able to go

5 0

2 years ago

Please help i need to finish this! thank you

jolli1 [7]

Answer:

x = 0

Step-by-step explanation:

0 = x²

√(0) = x

x = 0

Screenshot of Desmos graph attached showing y = x² and y = 0 intersecting.

3 0

2 years ago

How to write this in slope-intercept form? 8x + 10y = 40

worty [1.4K]

Answer:y=-4/5x+4

Step-by-step explanation:

4 0

2 years ago

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A film start at 7:15and finished at 9:30pm.How long is the film?

Mrac [35]

Answer:

2 hours and 15 minutes

Step-by-step explanation:

6 0

1 year ago

Which of the following is true for the relation f(x) = x2 + 8? Only the inverse is a function. Both the equation and its inverse

Alchen [17]

ANSWER

Only the equation is a function

EXPLANATION

$f(x)=x^2+8$ is graphed above with its inverse $f^{-1}(x)=\pm \sqrt{x-8}$ .

We perform the vertical line test for both the equation and its inverse.

The equation $f(x)=x^2+8$ passed the vertical line hence it is a function.

However, $f^{-1}(x)=\pm \sqrt{x-8}$ failed the vertical line test, hence it is not a function.

3 0

2 years ago