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Vera_Pavlovna [14]
3 years ago
13

Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 8 terms

Mathematics
1 answer:
arlik [135]3 years ago
3 0
First, we need to solve for the common ratio from the data given by using the equation.

a(n) = a(1) r^(n-1)
15 = -3 r^(2-1)
-5 = r
r = -5

Then, we can find the sum by the expression:

S(n) = a(1) ( 1 - r^n) / 1-r
S(8) = -3 (1 + 5^8) / 1+5
S(8) = -195313
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Someone help me find out what is the area
melamori03 [73]

Answer:

SA = 31.714 km²

Step-by-step explanation:

SA = πr² + πrl

SA = 3.14(1)² + 3.14(1)(9.1)

SA = 3.14 + 28.574

SA = 31.714 km²

3 0
2 years ago
John's dog Fido is tied to a post in his backyard. Fido's leash is 8.5 feet long. Determine how much circular roaming area Fido
ira [324]

Answer:

227 ft^2

Step-by-step explanation:

Here, we are tasked with calculating the roaming area that Fido has

Calculating this is same as calculating the area of circle that has a radius which is equal to the length of the leash

Mathematically, the area would be

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A = 3.14 * 8.5^2

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To the nearest square foot, this is 227 ft^2

3 0
3 years ago
The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half
MaRussiya [10]

Step-by-step explanation:

It is given that,

The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half  mile every 8 minutes.

Let y is the distance (in miles) and x is time (in minutes).

\dfrac{0.5}{8}=\dfrac{y}{x}\\\\\dfrac{x}{y}=16\\\\y=\dfrac{x}{16}

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8 0
2 years ago
Find the value of x<br> -7x + 4x = 9
hram777 [196]

Answer:

it is -79 + 41 = 9 i tried please give me brainlest

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Select the correct answers in the table.
Sergio039 [100]

Answer:

  see below

Step-by-step explanation:

To find miles per hour, divide miles by hours:

  (5 2/3 mi)/(2 2/3 h) = (17/3 mi)/(8/3 h) = (17/8) mi/h = 2 1/8 mi/h

Hours per mile is the reciprocal of that:

  1/(17/8 mi/h) = 8/17 h/mi

7 0
2 years ago
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