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anastassius [24]
3 years ago
6

What is the recursive formula for this geometric sequence -2, -16, ...

Mathematics
2 answers:
FrozenT [24]3 years ago
6 0

Answer: The sequence is: An = -2*8^(n-1)

Step-by-step explanation:

 geometric sequence is of the form:

An = a*r^(n-1)

where can be any positive integer number.

here the first two numbers are -2 and -16, so we have that:

A1 = a*r^(0) = a = -2

now, we know that our sequence is of the form:

An = -2*r^(n-1)

now, for n= 2 we have that:

A2 = -2*r^(1) = -2*r = -16

r = -16/-2 = 8

now we have determinated our sequence:

An = -2*8^(n-1)

maksim [4K]3 years ago
5 0

\displaystylea_1=-2\\r=8\\a_n=8a_{n-1}\\\\\left \{ {{a_1=-2} \atop {a_n=8a_{n-1}}} \right.

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Solve the exponential equation: 4x – 2 = 2x
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Answer:

(c)

Step-by-step explanation:

4 x 2 equals 8 8 -2 equals 6 6 4 24

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Property being illustrated 73=0+73
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Step-by-step explanation:

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8 0
2 years ago
According to his car odometer,Alfonso drove a total of 10 kilometers from his house to the movie theater and back again approxim
Brums [2.3K]

Answer:

It is approximately 3.10 miles from Alfonso's house to the movie theater

Step-by-step explanation:

First, identify what you know:

1) Alfonso drove from his house TO the movie theater, and then BACK to his house.

2) Alfonso's odometer shows him that the ENTIRE trip was 10 miles.

If the entire trip was 10 miles, and he only went to the move theater, AND took the same route back, then we simply divide 10 in half! This will give us the distance from his house the the movie theater, or rather, half of the trip, in kilometers.

10/2 = 5 kilometers.

Now, what is 5 kilometers in miles? Well, one mile is equal to 1.60934 kilometers, and one kilometer is equal to 0.621371 miles. So, simply multiply!

5 km  x 0.621371 miles = 3.106855

The approximate distance from his house to the theater is 3.10 miles!

Hope this helps! :)

3 0
3 years ago
What are the solutions to the quadratic equation (5y +6) 2= 24?
boyakko [2]

Answer:

y=-2.18,-0.22

Step-by-step explanation:

We have been given the equation

(5y+6)^2=24

Take square root both sides. When ever we take square root, we include plus minus sign

\sqrt{(5y+6)^2}=\pm\sqrt{24}\\\\5y+6=\pm2\sqrt6

Now, subtract 6 to both sides of the equation

5y=-6\pm2\sqrt6

Divide both sides by 5

y=\frac{1}{5}(-6\pm2\sqrt6)

y=\frac{1}{5}(-6+2\sqrt6),y=\frac{1}{5}(-6-2\sqrt6)

In decimal we have

y=-2.18,-0.22



3 0
3 years ago
If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will need twice
Norma-Jean [14]

Answer:

He needs 5x+56 ft

Step-by-step explanation:

To find how much of fencing he needs , we find the perimeter of the given figure

All sides are equal in a square

To find perimeter of the square we add all the sides

4 sides we have for the square

one side is x, so perimeter of square = x+x+x+x= 4x

Now we find perimeter of rectangle

Opposite sides of rectangle are equal

Here for rectangle we consider only three sides

because fourth side is common for rectangle and square

So perimeter of the rectangle (with 3 sides) = 28 +x+ 28 = 56+x

Total fencing = perimeter of square + perimeter of rectangle

4x + 56 + x= 5x+56


5 0
2 years ago
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