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nirvana33 [79]
3 years ago
8

What is the formula for the following geometric sequence?

Mathematics
2 answers:
Lelechka [254]3 years ago
8 0

Answer:

Correct answer:  Third answer  aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾

Step-by-step explanation:

Given:

-5, -10, -20, -40,.....

First term       a₁ = -5

Second term a₂ = -10

Third term     a₃ = -20

Common ratio or quotient

q = a₂ / a₁ = a₃ / a₂ = -10 / -5 = -20 / -10 = 2

q = 2

First term  a₁

Second term a₂ = a₁ · q = a₂ · q²

Third term     a₃ = a₂ · q = a₁ · q³

.....................................................

n-th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾

aₙ = -5 · 2⁽ⁿ ⁻ ¹⁾

God is with you!!!

NeX [460]3 years ago
5 0

Answer:

an = -5 · 2 n - 1

Hope it helped <3

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It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citiz
Alla [95]

Answer:

a) 0.71

b) 0.06

Step-by-step explanation:

We solve using Baye's Theorem

It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

We have Two events

A and B

Events A = 88% of senior citizens suffer from sleep disorders

P(A) = 0.88

Event B = 7% suffer from anxiety

P(B) = 0.07

Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

P(A and B) = 0.05

a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(B)

= 0.05/0.07

= 0.7142857143

Approximately = 0.71

B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

This is calculated as:

P(A and B)/P(A)

= 0.05/0.88

= 0.0568181818

Approximately = 0.06

7 0
2 years ago
-7 2/3+ -5 1/2+8 3/4
arsen [322]

Answer:

-4 5/12

Step-by-step explanation:

4 0
3 years ago
Simplify: (x+4)*(2x+5
s344n2d4d5 [400]

Answer:

2x^2+13x+20 is the simplified answer

7 0
2 years ago
161 divided by 4 , need a pic with the answer....
ludmilkaskok [199]

Answer:

40.25 if my math is right

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the least common multiple of 8 and 9?<br><br><br><br> Enter your answer in the box.
Contact [7]

Answer:

72

Step-by-step explanation:

The LCM is when you find the lowest factor that 2 or more numbers share.

For 8 and 9,you would just need to keep multiplying each other until you find the same numbers. It would look something like this.

8,16,24,32,40,48,56,64,72..... etc.

9,18,27,36,45,54,63,72,81..... etc.

You can see how they both have the same factor (72), and since that is the lowest factor (which means I can find a lower factor then 72) then your LCM of 8 and 9 should be 72 :)

4 0
2 years ago
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