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Oksi-84 [34.3K]
2 years ago
9

Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
5 0

Answer:

U_n=5(-2)^{n-1}

Step-by-step explanation:

Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

U_n=ar^{n-1}

If the eleventh term, a_{11}=5120

and the common ratio, r=-2.

Then:

5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5

The explicit formula for the sequence is:

U_n=5(-2)^{n-1}

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A perfect square trinomial is the square of a binomial. It follows a pattern when it is factored, so that the first and last terms are perfect squares of monomials and the middle term is twice their product

Step-by-step explanation:

5 0
2 years ago
What are the rise and run of the line whose equation is y=15x?
Blababa [14]

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Rise = 15.

Run = 1.

Step-by-step explanation:

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2 years ago
How do you do this question?
Mekhanik [1.2K]

Answer:

(-∞, -2), (-2, -0.618), and (1.618, 3)

Step-by-step explanation:

The red arrows indicate the regions in which the function is decreasing.

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The three choices that indicate a decreasing interval are (-∞, -2),

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3 0
3 years ago
What is the area of the following circle?
valkas [14]

Answer:

Area = 49π

Step-by-step explanation:

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Assuming d = 14 is the diameter (which the problem really should state explicitly, not leave you to assume), then the radius is half of that.

So r = 7, where 'r' is the radius.

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Area = 49π is the exact answer, so it is the one I prefer.

Area = 153.86 is the decimal you get if you multiply 49 x 3.14

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4 0
2 years ago
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Tom [10]

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