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Misha Larkins [42]
2 years ago
12

Formula for the geometric sequence 1/2, 1, 2, 4

Mathematics
1 answer:
zmey [24]2 years ago
5 0

Answer:

a_{n} = \frac{1}{2} (2)^{n-1}

Step-by-step explanation:

the nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = \frac{1}{2} and r = \frac{a_{2} }{a_{1} } = \frac{1}{\frac{1}{2} } = 2 , then

a_{n} = \frac{1}{2} (2)^{n-1}

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Is the circle inside the hexagon or hexagon inside the circle?
nexus9112 [7]

It could be either, we need more info. How big are each? If it doesn't say, then it's a trick question. Throw Schrodinger's cat at it or something.

8 0
3 years ago
What is the smallest degree of rotation that will map a regular 18 gon on to itself
natali 33 [55]

Answer:

  20°

Step-by-step explanation:

Rotating the figure through an angle equal to the central angle of one "sector" will do the required mapping. That is 360°/18 = 20°.

5 0
3 years ago
Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for opt
slava [35]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-4y ----> inequality A

solve for y

-4y

4y>x-4

y> (x/4)-1

The solution of the inequality A is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,-1)

The x-intercept is the point (4,0)

y< x+1 ----> inequality B

The solution of the inequality B is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept is the point (0,1)

The x-intercept is the point (-1,0)

Using a graphing tool

The solution of the system of inequalities in the attached figure

7 0
3 years ago
-9 more than a number results in -20
damaskus [11]

Answer:

-9+x=-20

Step-by-step explanation:

I am not so positive on this one, but if you are not doing inequalities, then this should be correct.

"More than" would insinuate that you are adding. In this class, you would have a number to replace that x, but since no number was given, you place the x in its place. x=-11, because when you "add" -9 with something to get -20, it would have to be -11. Negative numbers can be confusing because when you subtract a negative number by another negative, you end up with a negative. Like in this case. Normally, you would just put -11, so it would look like -9 - 11 = -20. But since this says "more than", unless you are doing inequalities, you add.

If you are doing inequalities, then your answer should be this:

-9 > x = -20

I hope this helps!

-No one

4 0
2 years ago
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aalyn [17]

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6 0
3 years ago
Read 2 more answers
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