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alex41 [277]
3 years ago
5

What is the explicit formula for this sequence? 2,10,50,250,1250​

Mathematics
2 answers:
Zina [86]3 years ago
8 0

Answer:

This is a geometric sequence with a₁ = 2 and r = 5 where a₁ is the first term and r is the common ratio.

Explicit formula: aₙ = a₁ * r ⁿ⁻¹

The answer is aₙ = 2 * (5ⁿ⁻¹)

Valentin [98]3 years ago
4 0

Answer:

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

Step-by-step explanation:

Explicit Geometric Formula: a_n = a_1r^{n-1}

a₁ is 1st term

<em>r</em> is common ratio

<em>n</em> is term number

Step 1: Find common ratio <em>r</em>

r = 10/2 = 5

Step 2: Plug variables into formula

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

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Helen [10]

Answer:  Number 4: 0.07, 60%, 13/20, 2/3, 0.70, and then 3/2

Step-by-step explanation:

6 0
3 years ago
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Hi Genius~<br><br> Can you help me please ? Thanks! Please show and explain your work :)
Murljashka [212]
The translation that maps triangle ABC to A prime B prime C prime would be a reflection across the y axis. This is because when you reflect something, you are pretty much flipping it. When you reflect across the y axis, you are flipping the triangle across the y axis. Take one point for example. I will use C. Notice how the point C is 3 units away from the y axis. So the same way you would move the point 3 units right from the y axis, and that would be your new point. This sounds kind of complicated, so I will give you a list of rules to make it more simple.


Reflection across y axis: (x,y) would be equal to (-x, y)
Reflection across x axis: (x,y) would be equal to (x, -y)
Reflection across y = x: (x,y) would be equal to (y,x)
Reflection across y = x: (x,y) would be equal to (-y,-x).

A reflection across y = x would be when you have a line that for every 1 it rises, it goes right 1. It is a positive line, as opposed to the y = -x line. It also has a slope of 1. I will try attaching a graph if I can.

Anyway, as I was saying. So pretty much if you don't want to go through the logic, to see whether a figure is reflected, just try each of these rules and if one works then you have your answer. Otherwise it would not be a reflection.

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5 0
3 years ago
Rotating a polygon in Quadrant II 270° clockwise is the same as what?
lora16 [44]
The answer to this question would be: <span>rotating it 90° counterclockwise. 

When you rotate up an object 360</span>°, it will revert into its original places. That mean, if you rotate it more than 180°, then rotating it to the opposite direction will be easier/closer than you do. In this case, you rotate the polygon 270° so it will equal to 360° - 270°= 90° of opposite direction, which means counterclockwise. The quadrant shouldn't have any meaning in this question.
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3 years ago
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Setler79 [48]

Answer:

diameter = 3,600 units

Step-by-step explanation:

Let \pi = 3.14

C = 2\pir

11,304 = 2(3.14)r

r = 1,800

d = 2r = 2(1,800) = 3,600

7 0
2 years ago
What is the slope of a line that passes (4, 10) and (1, 10)
SpyIntel [72]

Answer:

The slope of the a straight line is given by the ratio of the Rise to the Run

of the line. The rise between the given points is zero.

The slope of the line that passes through the points (4, 10) and (1, 10) is zero.

Step-by-step explanation:

The given points are; (4, 10) and (1, 10)

The slope of a line, m, is given by the following formula;

Where;

(x₁, y₁) = (4, 10) and (x₂. y₂) = (1, 10), we get;

The slope of the line that passes through the points (4, 10) and (1, 10) is 0.

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2 years ago
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