For which of the following geometric series can the infinite sum be determined? a1 = –0.25, r = –3 a1 = 0.75, r = 4 a1 = 3, r = 2 a1 = 5, r = –0.5

Answers

Answer 1

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

For a geometric series the infinite sum is given by s = a/(1 - r) where a = first term, r = common ratio and |r| < 1.

For each of the geometic series given below, we need to determine if |r| < 1.

For a₁ = -0.25, r = - 3, |r| = |-3| = 3 > 1

For a₁ = 0.75, r = 4, |r| = |4| = 4 > 1

For a₁ = 3, r = 2, |r| = |2| = 2 > 1

For a₁ = 5, r = -0.5, |r| = |-0.5| = 0.5 < 1

Since we require |r| < 1 to find the infinite sum and |r| in the last geometric series |r| = 0.5 < 1, the infinite sum can be found in the geometric series a₁ = 5, r = -0.5..

So, the infinite sum can be determined in the geometric series a₁ = 5, r = -0.5.

Learn more about infinite sum of geometric series here:

https://brainly.com/question/16037289


Related Questions

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Answers

Answer:

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Step-by-step explanation:

[8×(5+6)]/2

=(8×11)/2

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Use the table to work out the values of
a
,
b
,
c
, and
d
.

x
y
=
3
x

x
2
+
6

3
a

2

4

1
b
0
6
1
8
2
c
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Answers

Answer:

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Step-by-step explanation:

50

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ASAP​

Answers

y = mx+b

y = 1/3x+4

Sincerely,

William

If i watch a movie at 7:00 pm and the movie lasts 1h 49m what time will it be when it finishes?

Answers

Answer:

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Step-by-step explanation:

Have  a nice day :)

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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help! provide the missing statement and reasons for the following proof:
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Answer:

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Answer : A=32cm²

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

Option A

(-2)(-49)

=2×49

=98

Option B

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Quadrilateral Properties
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Answers

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What is the probability of rolling an even number on a number cube and flipping a tails on a coin?

Answers

Answer:

25% or 1 in 4 chance.

Step-by-step explanation:

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Answers

Answer:

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Answers

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[tex]d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800[/tex]

[tex]d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800[/tex]

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The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at https://brainly.com/question/25929988

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Step-by-step explanation:

Answer:

y< -8 or y > 4

Step-by-step explanation:

Interval Notation:

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Answers

Answer:

Marco is 21

Step-by-step explanation:

Let the sister's age = x

Marco's age = 2*x - 5

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3x + 9 = 48                         Subtract 9 from both sides

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Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….
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Answers

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Answer:

10

Step-by-step explanation:

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10

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Answers

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Answers

Answer:

2.25

Explanation

2/3 can be made into 4/6 then added to 5/6

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P^2 x 2p^4 x q x q^2

(m^2 x m^4) ÷ m^5 x m^2

Answers

Answer:

[tex]\huge\boxed{2p^6q^3}\\\boxed{m^3}[/tex]

Step-by-step explanation:

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\p^2\cdot2p^4\cdot q\cdot q^2=(p^2\cdot2p^4)\cdot (q\cdot q^2)=2p^{2+4}q^{1+2}=2p^6q^3[/tex]

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\a^n:a^m=a^{n-m}[/tex]

[tex](m^2\cdot m^4):m^5\cdot m^2=m^{2+4}:m^5\cdot m^2=m^{6-5}\cdot m^2=m^{1+2}=m^3[/tex]

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Answers

Answer:

m = -1/2

Step-by-step explanation:

let me know if it helped

(too lazy to write a explanation)

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