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2 years ago

Write the next 3 numbers in this pattern. Then describe the rule for this pattern in an nth expression.

Mathematics

1 answer:

hram777 [196]2 years ago

8 0

Answer:

An=10^n + 1 is the expression for the nth term.

Next three terms:

100001

1000001

10000001

Step-by-step explanation:

The number ot 0's imcrease between the two 1's starting at no zeros, 1 zero, two zeros, and so on...

So the next terms are 100001, 1000001, 10000001 and that's without finding the formula.

Now let's find the formula:

A1=11=10+1

A2=101=100+1

A3=1001=1000+1

Notice we have increasing powers of 10 and then just adding 1.

A1=10^1 +1

A2=10^2 +1

A3=10^3 +1

....

An=10^n +1

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If we had increased the confidence level, the margin of error also would have increased.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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The lower and the upper bound of the interval are given, respectively, by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.47 - 1.96\sqrt{\frac{0.47(0.53)}{450}} = 0.4239$

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More can be learned about the z-distribution at brainly.com/question/25890103

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