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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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Solve:<br> -8r - (-2r-3) = 13<br><br> (if you can give a step by step, that would be great!)
coldgirl [10]

Answer:

r =  -  \frac{5}{3}  = 1 \frac{2}{3}  =  - 1.6

Step-by-step explanation:

- 8r -  ( - 2r - 3) = 13

- 8r + 2r + 3 = 13

- 6r + 3 = 13

- 6r = 13 - 3

- 6r = 10

\boxed{\green{r =  -  \frac{5}{3}  = 1 \frac{2}{3}  =  - 1.6}}

4 0
3 years ago
Today, a factory inspector found flaws in 2 out of 16 wooden boxes. If the inspector checks 24 boxes tomorrow, predict how many
Mumz [18]

Answer:

3

Step-by-step explanation:

The assumed frequency of defects is 2/16.

When we apply this rate to 24, (2/16)*24, we get 3.

Therefore, we can assume around 3 defective boxes tomorrow.

7 0
3 years ago
Read 2 more answers
. The regular price of a scooter is $89.99. The scooter is on sale for 20%
Artyom0805 [142]

Answer:

80

Step-by-step explanation:

3 0
2 years ago
sharon drops a rubber ball from a height of 48 feet. every bounce sends the ball half as high it was before
sdas [7]
48-24-12-6-3-1.5-.75
4 0
3 years ago
Find the Equation of x(2x+5)-3(2x+5)=0
Nata [24]
2x² + 5x -6x - 15 = 0

2x² - x - 15 = 0

2x² -x = 15

x = 3

3 x 3 = 9 x 2 = 18 - 3 = 15

i really don't know how i got 3 in the first place but that is your answer

hope this helps


5 0
3 years ago
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