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Mashcka [7]
3 years ago
9

What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of -8

Mathematics
2 answers:
loris [4]3 years ago
5 0

Answer:

Step-by-step explanation:

A geometric sequence has a common ratio. in this case the common ratio

r = -8/2 = -4.

The explicit formula is an = 2(-4)^(n-1).

belka [17]3 years ago
3 0

Answer:

\large\boxed{a_n=2(-4)^{n-1}=\dfrac{(-4)^n}{2}}

Step-by-step explanation:

The explicit equation of a geometric sequence:

a_n=a_1r^{n-1}

The domain is the set of all Counting Numbers.

We have the first term of a_1=2 and the second term of a_2=-8.

Calculate the common ratio <em>r</em>:

r=\dfrac{a_{n-1}}{a_2}\to r=\dfrac{a_2}{a_1}

Substitute:

r=\dfrac{-8}{2}=-4

a_n=(2)(-4)^{n-1}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\a_n=(2\!\!\!\!\diagup^1)\left(\dfrac{(-4)^n}{4\!\!\!\!\diagup_2}\right)\\\\a_n=\dfrac{(-4)^n}{2}

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help please!! i have 20 minutes left to do this and I don't get the rest :( please answer the 3 of them !!
bonufazy [111]

Answer:

1st question answer is 10cm2

2nd question answer is 1368 in2

3rd question answer is 45 in2

Step-by-step explanation:

1st question explanation is 16+ 24 = 40

2nd question explanation is 19 x 8 x 9 = 1368

3rd question explanation is 8 x 2 1/4 x 2 1/2 = 45

DON'T COMPLAIN IF WRONG!

7 0
3 years ago
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Ivenika [448]

Answer:

40

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Adrians recipe for cranberry relish calls for 1 3/4 cups of sugar. He wants to use 1/2 that amount. How much sugar should he use
marusya05 [52]
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7 0
3 years ago
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Equation of a line with an slope of 1/2 that contains (-4, 7)
nasty-shy [4]

Equation of a line with an slope of 1/2 that contains (-4, 7) is y=\frac{1}{2} x+9

<em><u>Solution:</u></em>

We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.

The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.

To write in standard form we will first write it in point slope form and then rearrange it into a standard from.

<em><u>The formula for point slope form:</u></em>

y-y_{1}=m\left(x-x_{1}\right)

where "m" is the slope of line

Given that "m" = \frac{1}{2} and (x_1, y_1) = (-4, 7)

\begin{array}{l}{y-7=\frac{1}{2}(x-(-4))} \\\\ {y-7=\frac{1}{2}(x+4)} \\\\ {y-7=\frac{1}{2} x+2} \\\\ {y=\frac{1}{2} x+9}\end{array}

Now, let us convert this equation to standard form

0.5x + 9 = y

0.5x - y = -9

Thus we have found out equation of line in point slope and standard form

3 0
4 years ago
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