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JulijaS [17]
3 years ago
15

Which is a possible expression for the series –7 + 12 –17 +22 –27

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
First, you have to see the behavior of the series: it has a negative number, then a positive number with a 5 addd (7+5=12), and this is repeated with the others values. Each termn has a 5 added. In this case, as there is negatives values alternated, the serie will have the termn (-1)^n. Then, we have:
 
 a(n)=(-1)^n[ a + (n-1)d ]
 a(n)=(-1)^n[ (7) + (n-1)(5) ]
 a(n)=(-1)^n( 5n + 2 )
 
 A possible expression for the serie <span>–7 + 12 –17 +22 –27, is:
</span> 
 ∑5n=(−1)^n(2+5n)
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Answer:

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Step-by-step explanation:

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The margin of error is:

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So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

In this problem, we have that:

p = 0.5, M = 0.1

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}

0.1\sqrt{n} = 0.98

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