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Travka [436]
3 years ago
8

Does the infinite geometric series diverge or converge? Explain.

Mathematics
2 answers:
Ludmilka [50]3 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]3 years ago
4 0
It diverges; it does not have a sum
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Step-by-step explanation:

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3 years ago
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PLEASE HELP! THANK YOU! Hint: It’s not C.
Jlenok [28]
The correct answer is A. Each of the y values are 4 times their respective x values
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3 years ago
An icecream shop charges $3.39 for a dish of ice cream. A costomer can also order toppings for $0.59 each. If x represents the n
Leya [2.2K]

Answer:

3.39 + 0.59x

Step-by-step explanation:

Cost of a dish of ice cream = $3.39

Cost of toppings = $0.59 each

x = number of toppings

which expression can be used to determine the total charge in dollars, for a dish of ice cream with x toppings

Total charge for a dish of ice cream with x toppings = 3.39 + 0.59x

The expression is 3.39 + 0.59x

5 0
3 years ago
I have k quarters, five less quarters than nickels and one more than twice as many dimes as quarters. Find the value of the coin
Alenkinab [10]

Answer:

(35k + 20) cents

Step-by-step explanation:

First of all, let us have the value of each unit:

1 quarter = 25 cents

1 nickel = 5 cents

1 dime = 10 cents

Given that number of quarter = k

Quarters are 5 lesser than Nickels, so number of nickels = k+5

One more than twice as many dimes as quarters:

k = 2 \times Number of Dimes + 1

So, number of dimes = \frac{1}{2}(k-1)

Value of quarters = 25 \times k cents

Value of nickels = 5 \times (k+5) = (5k+25)\ cents

Value of dimes = \frac{1}{2}(k-1) \times 10 = (5k-5)\ cents

So, total value of coins =

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5 0
3 years ago
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A castle is surrounded by a circular moat which is 5 m wide
Elanso [62]

Answer:

  1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

<h3>Moat area</h3>

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

  C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

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<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

  V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0
1 year ago
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