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3 years ago

What are the next three terms of the geometric sequence 32, -16, 8, …?

Mathematics

1 answer:

MrRa [10]3 years ago

8 0

Answer:

-4, 2, -1

Step-by-step explanation:

everything is being multiplied by -1/2

32 × -1/2 = -16

-16 × -1/2 = 8

So 8 × -1/2 = -4

You might be interested in

Solve using the quadratic formula 3x^2+11x+5=0

storchak [24]

Answer:

$3x^2 + 11x + 5 = 0 : x = \frac{-11 + \sqrt{61} }{6} , x = \frac{-11 - \sqrt{61} }{6}$

Decimal:

$(x = -0.53162..., x = -3.13504...)$

Step-by-step explanation:

$3x^2+11x+5=0$

Solve with the quadratic formula:

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are:

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

For $a=3,\:b=11,\:c=5:\quad x_{1,\:2}=\frac{-11\pm \sqrt{11^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}$

$x=\frac{-11 + \sqrt{11^2-4\cdot \:3\cdot \:5}}{2\cdot \:3} : \frac{-11 + \sqrt{61} }{6}$

$x=\frac{-11 - \sqrt{11^2-4\cdot \:3\cdot \:5}}{2\cdot \:3} : \frac{-11 - \sqrt{61} }{6}$

The solutions to the quadratic equation are:

$x=\frac{-11+\sqrt{61}}{6},\:x=\frac{-11-\sqrt{61}}{6}$

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

8 0

3 years ago

A store ordered 28 boxes holding 12 banana muffins each and five boxes holding 6 blueberry muffins each. What was the total numb

sveticcg [70]

Answer:

366 muffins

Step-by-step explanation:

28 x 12 = 336

5 x 6 = 30

336 + 30= 366 muffins

6 0

3 years ago

Factor the following problems -13=-4a-2b+c 3=4a+2b+c 5=16a+4b+c Please Help!

Pie

1) -13 = -4a - 2b + c
-13 = -2(2a + b) + c

2) 3 = 4a + 2b +c
3 = 2(2a + b) + c

3) 5 = 16a + 4b + c
5 = 4(4a + b) + c

[ Final Answers are in bold ]

Hope this helps!

8 0

3 years ago

Find the slope of the line that passes through

Crazy boy [7]

Slope: (y2-y1)/(x2-x1)
(-3+5)/(-1-7) = 2/-8 = -1/4
The answer is d) -1/4

3 0

3 years ago

You multiply two integers. You increase one of them by 1 and decrease the other

snow_tiger [21]

Integers are numbers without decimals

The integers could you have multiplied are 9 and 2

Let the numbers be x and y

So, we have:

$\mathbf{x \times y}$

Increase x by 1 and reduce y by 1.

So, we have

$\mathbf{(x +1) \times (y -1) = 6 + xy }$

Open brackets

$\mathbf{xy -x + y - 1 = 6 + xy}$

Subtract xy from both sides

$\mathbf{ -x + y - 1 = 6}$

Collect like terms

$\mathbf{ -x + y = 6 + 1}$

$\mathbf{ -x + y = 7}$

Rewrite as:

$\mathbf{ y -x= 7}$

The above means that, the difference between the integers is 7.

There are several integers that fit the above description;

One possibility is: 9 and 2