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ch4aika [34]
3 years ago
15

Consider the terms in the sequence: {1/3,1/9,1/27,…}

Mathematics
1 answer:
Naya [18.7K]3 years ago
6 0

Answer:

1/3, 1/3, a×[r^(n-1)]

Step-by-step explanation:

First term is 1/3

Common ratio is the ratio of any two consecutive terms:

Term2/Term1 = (1/9)÷(1/3)

= (1/9)×(3/1)

= 1/3

Let a be the first term and r be the common ratio,

Then any term of the sequence can be obtained using the following formula:

a×[r^(n-1)]

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Based on the calculations, the equation of this parabola is equal to (x - 6)² = 16(y + 4).

<h3>How to determine the equation of this parabola?</h3>

Mathematically, the standard equation with the vertex for a parabola is given by:

(y - k)² = 4a(x - h) for horizontal parabola.

(x - h)² = 4a(y - k) for vertical parabola.

<u>where:</u>

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By critically observing the points, we can deduce that both the focus and vertex lie on the same vertical line x = 6.

<u>Given the following data:</u>

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Read more on parabola here: brainly.com/question/2346582

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