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qwelly [4]
3 years ago
12

What is the sum of the geometric sequence 3,12,48... if there are 8 terms?

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Answer:

  C)  65,535

Step-by-step explanation:

You can add up the 8 terms ...

  3, 12, 48, 192, 768, 3072, 12288, 49152

to find their sum is 65535.

_____

<em>Estimating</em>

Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.

_____

<em>Using the formula</em>

You know the formula for the sum of a geometric sequence is ...

  S = a1(r^n -1)/(r -1)

where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).

Filling in the values, you find the sum is ...

  S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535

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I need help does anyone know?
Nuetrik [128]

Answer:

$19.6

Step-by-step explanation:

He bought 6 video games and 1 dvd

We know that each video game costs $2.7 and each dvd costs 3.4

To get the sum = v x 6 + d x 1

= 2.7 x 6 + 3.4 x 1

= 16.2 + 3.4

= $19.6

4 0
2 years ago
Solve the following equation: <br><br> x^3 -168 = [24(x-2)] / 2<br><br> PLEASE REPLY ASAP
Nataly_w [17]
Hi Larry

x^3 - 168 = [ 24(x-2)] / 2
x^3 - 168 = (24x - 48)/2
x^3 - 168 = 12x - 24
Subtract 12x - 24 to both sides
x^3 - 168 - (12x - 24) = 12xx - 24 - (12x - 24)
x^3 - 12x - 144 = 0
Now, factor the left sides
(x - 6)(x^2 + 6x + 24) = 0
Set factors equal to 0
x - 6 = 0 or x^2 + 6x + 24 = 0
x = 0 + 6 or x^2 + 6x + 24 - 0
x = 6
Answer : X = 6

Good luck !
7 0
3 years ago
What’s the equation of the blue line??
Sholpan [36]

Answer:

y = -1/2 + 2 (Slope intercept)

Step-by-step explanation:

Y-intercept is when the x-value is 0.

So the y-intercept is (0, 2)

To find slope, find two random points:

(0, 2) , (2, 1)

Slope (m) =ΔY/ΔX  = -1/2 =  -0.5

Equation of the line:

y = -0.5x + 2

or

y = -1/2 + 2

When x=0, y = 2

When y=0, x = 4

4 0
2 years ago
What is the approximate area of the shaded sector in the circle shown below?
viva [34]

Answer:

4.71

Step-by-step explanation:

Area of shaded sector formula: r2(data)(pi)/360

Substitute the info into the formula

3^{2} (60)(pi)/360

9(60)=540

540/360(pi)=4.71

Hope this helps! :)

8 0
3 years ago
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kirill115 [55]
It’s B dksmejnsjejwkwmwkwm
3 0
2 years ago
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