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katrin2010 [14]
3 years ago
5

Find S8 for the geometric series 3 + -6 + 12 + -24 +…

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0
I guess you are asking to find the sum of the first 8 terms. If so, then:
Sum = a₁(1-rⁿ)/(1-r), where a₁ is the 1st term,  r=common ratio and n=number of terms:
the 1st term a₁ =3
common ratio r = - 2 (since -6/3 = - 2, and 12/-6 = - 2, etc.)

Sum = 3[(1- (-2)⁸]/(1-2) = 3(1- 256)/(1/2)
Sum = -1530

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Choose the equation and the slope of the line that passes through (5,-3) and
madam [21]

Answer:

x = 5; the slope is undefined

Step-by-step explanation:

A line perpendicular to the x-axis is a vertical line.

In a vertical line, every point has a different y-coordinate and the same x-coordinate. Since you want a line that is vertical and passes through the point (5, -3), then every point on the line must have x-coordinate 5 no matter what its y-coordinate is. The slope of a vertical line is undefined.

Answer: The equation is x = 5; the slope is undefined

7 0
3 years ago
54.00 for tickets write a unit rate for the situation
schepotkina [342]
54 dollars/1 ticket.
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6 0
3 years ago
Factor completley x2-4x-12
Artist 52 [7]

Step-by-step explanation:

The answer is 4x

6 0
3 years ago
The goals against average (A) for a professional hockey goalie is determined using the formula A = 60 a equals 60 left-parenthes
Marina CMI [18]

Answer:

Option 1 - \frac{At}{60}=g

Step-by-step explanation:

Given : The goals against average (A) for a professional hockey goalie is determined using the formula A=60(\frac{g}{t} ). In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes.

To find : Which is an equivalent equation solved for g?

Solution :

Solve the formula in terms of g,

A=60(\frac{g}{t})

Multiply both side by t,

At=60g

Divide both side by 60,

\frac{At}{60}=\frac{60g}{60}

\frac{At}{60}=g

Therefore, option 1 is correct.

4 0
2 years ago
Read 2 more answers
Determine the value of x to the nearest thousandth in the equation 8(2)^x+3=48
solong [7]

You probably mean either

8\cdot2^x + 3 = 48

or

8\cdot2^{x+3} = 48

Write 8 = 2³, so that in the first interpretation,

8\cdot2^x = 2^3 \cdot 2^x = 2^{x + 3}

and in the second,

8\cdot2^{x+3} = 2^3 \cdot 2^{x+3} = 2^{x + 6}

Then in the first interpretation, we have

2^{x + 3} + 3 = 48 \implies 2^{x + 3} = 45 \implies x + 3 = \log_2(45) \implies x = \log_2(45) - 3 \approx \boxed{2.492}

Otherwise, the second interpretation gives

2^{x + 6} = 48 \implies x + 6 = \log_2(48) \implies x = \log_2(48) - 6 \approx -0.415

8 0
2 years ago
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