Answers:
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Explanation:
Note we subtract 3 off the previous term (t1) to get the next term (t2). Each new successive term is found this way
and so on. This process may take a while to reach
There's a shortcut. The nth term of any arithmetic sequence is
We plug in and simplify
Then we can plug in various positive whole numbers for n to find the corresponding value. For example, plug in n = 2
which matches with the second term we found earlier. And,
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The notation refers to the sum of the first ten terms
We could use either the long way or the shortcut above to find all through . Then add those values up. Or we can take this shortcut below.
The sum of the first ten terms is -85
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As a check for , here are the first ten terms:
- t1 = 5
- t2 = 2
- t3 = -1
- t4 = -4
- t5 = -7
- t6 = -10
- t7 = -13
- t8 = -16
- t9 = -19
- t10 = -22
Then adding said terms gets us...
5 + 2 + (-1) + (-4) + (-7) + (-10) + (-13) + (-16) + (-19) + (-22) = -85
This confirms that is correct.
Answer:the answer is b or c
Step-by-step explanation:
Answer: 13300
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Work Shown:
A = event that it rains
B = event that it does not rain
P(A) = 0.30
P(B) = 1-P(A) = 1-0.30 = 0.70
Multiply the attendance figures with their corresponding probabilities
- if it rains, then 7000*P(A) = 7000*0.30 = 2100
- if it doesn't rain, then 16000*P(B) = 16000*0.70 = 11200
Add up the results: 2100+11200 = 13300
This is the expected value. This is basically the average based on the probabilities. The average is more tilted toward the higher end of the spectrum (closer to 16000 than it is to 7000) because there is a higher chance that it does not rain.
The slope of the line is -(1/2)