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uranmaximum [27]
2 years ago
15

What is the next term of the geometric sequence? -128/27,32/9,-8/3

Mathematics
1 answer:
IrinaVladis [17]2 years ago
3 0

Answer:

2

Step-by-step explanation:

a1 = -128/27

a2 = 32/9

a3 = -8/3

Therefore, a = a1 = -128/27

r = a3 ÷ a2 = -8/3 ÷ 32/9 = -3/4

So a_n=ar^{n-1}=-\frac{128}{27} (-\frac{3}{4})^{n-1}

Therefore, a4 = (-128/27) x (-3/4)^(4-1)

= (-128/27) x (-3/4)^3

= (-128/27) x (-27/64)

= 2

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hichkok12 [17]
1 5/8
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1 5/8 is the answer
6 0
3 years ago
For the function y=-1+6 cos(2pi/7(x-5)) what is the minimum value?
Ad libitum [116K]
Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:
\frac{2\pi}{7(x-5)^{2}}\sin{\frac{2\pi}{7(x-5)}}}
which contains multiple solution if one tries to solve for x when the differentiated form is 0.

I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.

If, however, the function is
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Then differentiating and equating to 0 yields:
\sin{\frac{2\pi}{7}(x-5)}}=0
which gives:
x=5 or 8.5

We reject x=5 as it is when it ix the maximum and thus,
x=8.5\pm7n, for n=0,\pm 1,\pm 2, ...
3 0
3 years ago
Read 2 more answers
Multi-Step Max's school bought boxes of
Dovator [93]

Answer:

564 pencils

Step-by-step explanation:

1 box = 12 pencils

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8 0
3 years ago
Quadratic inverse for y=x^2-1
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let's recall that to find the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".

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8 0
3 years ago
HURRYYYYYY !! A cube has an edge length of 9 centimeters.
CaHeK987 [17]
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it is the first answer
(it isn't cm² because that is for area and we are calculating perimiter)
5 0
3 years ago
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