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Karo-lina-s [1.5K]
3 years ago
11

Find the 4th term in the sequence with the following definition: a1 = 0 an = 2(an-1 -3)

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

Answer:

-42

Step-by-step explanation:

a_{1}=0\\a_{n}=2(a_{n-1}-3)\\a_{2}=2(a_{1}-3)=2(0-3)=-6\\a_{3}=2(a_{2}-3)=2(-6-3)=-18\\a_{4}=2(a_{3}-3)=2(-18-3)=-42

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Answer:

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Step-by-step explanation:

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3 years ago
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The focus of a parabola is (4,7) and the directrix is y=8.
disa [49]
We know that the x-ordinate of the vertex is x = 4, because the x-ordinate of the vertex will not change.

Now, the definition of a parabola in locus terms is that for any fixed point that lies on the parabolic shape, it is equidistant from the directrix to the fixed point and the focus to the fixed point.

Thus, we can deduce that:
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Now, we know that the latus rectum will be -4a, because the directrix is higher than the y-ordinate of the focus. Thus, we can say that the vertex will be the midpoint of the two points y = 7 and y = 8, because that is the only place where the definition of a parabola works.

Hence, we can say that the vertex lies at (4, 7.5).

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3 0
4 years ago
The Mt. Aconcagua is 22,834ft tall and Mount Everest is 29,035 feet tall. And he climbed both mountains in two years how many fe
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Answer:

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If he climbed both mountains, then we add the heights together

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3 years ago
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Draw a figure with given perimeter 10 units
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Draw 4 squares. The perimeter is 10 because the width is 4 and the length is 1. So 4 x 2 is 8 and 1 x 2 is 2. And 8 + 2 = 10.
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