Determine whether the sequence converges or diverges. if it converges give the limit.

1 answer:

8 0

The sequence converges.
The limit of the sequence is 0.

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This is a geometric sequence with the first term a = 48 and r = 1/4 = 0.25 as the common ratio. Since |r| < 1, this means that the terms are steadily getting smaller and smaller. The terms will approach 0 but not actually get there.

Note: if you added up all the terms of this infinite sequence, then the sum would be S = a/(1-r) = 48/(1-0.25) = 64

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Answer:

See photo below

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Step-by-step explanation:

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Vertex dot: V (x, y)

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V (0, y)

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We read from left to right. The greater numbers are towards the top of the page.

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2 years ago

What is a1? what is d? what’s the equation? what is a7? what is a59?

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Answer:

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Steps:

a1 is the initial value (when n equals 1), and since there are 2 crosses, it is 2.

d is the added value to each amount of crosses. And since the second amount is 5 and the third amount is 8, we can determine that each n is adding 3 crosses, therefore making d = 3.

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a59 = 2 + (59 - 1) * 3

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2 years ago

Read 2 more answers

Three years ago, Claire borrowed money from her father to pay for a class trip. She agreed to pay 6% simple annual interest on t

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Answer:

Claire borrowed $500 from her father.

Step-by-step explanation:

Interest = $90

p = ?

r = 6% or 0.06

t = 3