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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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Four diners have ordered a platter of desserts. The platter holds 8 chocolate chip cookies and 4 slices of chocolate cheesecake.
Furkat [3]

Answer:

P(Y>1 \cap Y

And we can find this probability like this:

P(Y>1 \cap Y

And we can replace the values and we got:

P(Y>1 \cap Y

Step-by-step explanation:

For this case we define the random variable Y as: the number of slices of cheesecake left on the platter after the first serving. And we have the following distribution for Y:

Y     |     0          1        2         3         4

P(Y) | 0.005  0.114  0.429  0.381  0.071

And we want to find the following probability:

P(Y>1 \cap Y

And we can find this probability like this:

P(Y>1 \cap Y

And we can replace the values and we got:

P(Y>1 \cap Y

3 0
3 years ago
24=x^2−4x+3 completing the square
Mars2501 [29]

Answer:

-3,7

Step-by-step explanation:

See the Image below:)

8 0
3 years ago
Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches.
Simora [160]
3^2+3^2=c^2 18=c^2 c=3sqrt2 Or 4.24 if you need a decimal answer
5 0
3 years ago
A trucking company delivered 4,604 cubic yards of
nadezda [96]
Answer:
13,812 cubic yards of sand

step-by-step explanation:
4,604 cubic yards of gravel
4,604 • 3
13,812
6 0
3 years ago
Topic/what am learning:
zloy xaker [14]
4 7/8 + 11 1/2 = 16 3/8
4 + 7/8 + 11 + 1/2
4 + 11 = 15
7/8 + 1/2 = 7/8 + 4/8 = 11/8
11/8 = 1 3/8
15 + 1 + 3/8 = 16 3/8
3 0
2 years ago
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