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zhannawk [14.2K]
3 years ago
9

What is the nth term of the geometric sequence 4, 8, 16, 32, ... ?

Mathematics
1 answer:
sashaice [31]3 years ago
6 0
Formula:

a_n = a1 r^(n-1)

a1 is the first term = 4
r = common ratio = 8/4 = 2

so,
a_n = 4 (2)^(n-1)
or
a_n = 2 (2)^n
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Answer:

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Step-by-step explanation:

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Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages i
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Chi square Daphne likes to ski at a resort that is open from December through April. According to a sign at the resort, 20, perc
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There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.

Step-by-step explanation:

The missing data for the random sample of 80 days between December and April with snowfall is:

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December         16

January             11

February            16

 March              18

  April                19

The Chi-square goodness of fit test would be used to determine whether the snow falls in Daphne's hometown followed the given distribution.

The hypothesis for the test can be defined as follows:

<em>H</em>₀: The snow falls in Daphne's hometown does not follow the given distribution.

<em>Hₐ</em>: The snow falls in Daphne's hometown followed the given distribution.

Assume that the significance level of the test is, <em>α</em> = 0.05.

The Chi-square test statistic is given by:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

The value of Chi-square test statistic is computed in the Excel sheet below.

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=8.383

Compute the <em>p</em>-value as follows:

\text{p-value}=P(\chi^{2}_{(4)}>8.383)=CHISQ.DIST.RT(8.383,4)=0.0785

The <em>p</em>-value of the test is 0.0785.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

<em>p</em>-value = 0.0785 > <em>α</em> = 0.05.

The null hypothesis will not be rejected.

Conclusion:

There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.

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