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UNO [17]
3 years ago
7

98. What is the sum of the first 27 terms in the arithmetic series 25 +19+13 + ...?​

Mathematics
1 answer:
jeka57 [31]3 years ago
4 0

Answer:

sum of the first 27 terms = -1431

Step-by-step explanation:

<h3>arithmetic series sum of the first n terms formula:</h3>

s_{n}  =  \frac{n}{2}  (2a + (n - 1)d)

n = 27 terms

first term, a = 25

common difference, d = 19 - 25 = -6

substitute the values into the formula

s_{27} =  \frac{27}{2} (2(25) + (27 - 1)( - 6))

s_{27} = 13.5(50 + 26( - 6))

s_{27} = 13.5(50 - 156)

s_{27} = 13.5( - 106)

s_{27}  =  - 1431

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X^m means x times itself m times

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--------------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:  

E(X) = np

And standard deviation of:

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Normal probability distribution  

Z-score formula is used, which, in a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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  • 80 samples, thus n = 80

The mean of X is of:

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The standard deviation of X is of:

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Using the approximation and continuity correction, the probability is P(X < 40 - 0.5) = P(X < 39.5), which is the p-value of Z when X = 39.5. Thus:

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A similar problem is given at brainly.com/question/24261244

8 0
2 years ago
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algol13

Answer:

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Step-by-step explanation:

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Please, see the attached file.

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The solution is <span>B. π/12+nπ

</span>proof 
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