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2 years ago

Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.

Mathematics

1 answer:

zloy xaker [14]2 years ago

6 0

Answer: The infinite geometric series converges to 38.4

====================================================

Explanation:

Divide each term by its previous term

term2/term1 = 9.6/19.2 = 0.5

term3/term2 = 4.8/9.6 = 0.5

The common ratio is r = 0.5

Since -1 < r < 1 is true, this means the infinite geometric series converges.

It converges to...

S = a/(1-r)

S = 19.2/(1-0.5)

S = 38.4

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2 years ago

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2 years ago

Two people are standing on opposite sides of a hill. Person A makes an angle of elevation of 65° with the top of the hill and pe

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Answer:

Option 3. 71 ft. is the distance between B and top of the hill.

Step-by-step explanation:

Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.

It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.

We have to find the distance of B from the top of the hill.

Now from ΔACO $tan 65 = \frac{h}{45-x} = 2.14$

$h=2.14(45-x)$

From ΔBCO $tan80 = \frac{h}{x} = 5.67$

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Now h = 5.67x = 2.14(45-x)

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3 years ago

Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.​

Determine whether the geometric series 19.2 + 9.6 + 4.8 + ... converges or diverges, and identify the sum if it exists.