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evablogger [386]
2 years ago
7

Which sequence is a geometric progression? A 2 4 6 8 B 1 1 2 3 С 1 2 4 8 D 1 3 5 7

Mathematics
1 answer:
Mars2501 [29]2 years ago
7 0

Answer:

c) 1 2 4 8

Step-by-step explanation:

<u>Explanation </u>:-

<u><em>Geometric sequence</em></u>

The sequence is of the form a , a r , a r² , a r³ ,.......

'a' is the first term

'r' is the common ratio

1 , 1(2) , 1( 2)² , 1( 2 )³ ......  is a geometric sequence

here a = 1

common ratio   r = \frac{a_{2} }{a_{1} } = \frac{2}{1} = 2

                        r =  \frac{4}{2} = 2

                       r =  \frac{8}{4} = 2

<em>The sequence 1 2 4 8 is a geometric sequence</em>

                         

     

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Answer:

7.38-1.96\frac{2.51}{\sqrt{601}}=7.18    

7.38+1.96\frac{2.51}{\sqrt{601}}=7.58    

For this case the confidence interval is given by :

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Step-by-step explanation:

Data provided

\bar X=7.38 represent the sample mean for the fuel efficiencies

\mu population mean

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The formula for the confidence interval of the true mean is given by:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom for this case is given by:

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The Confidence level for this case is 0.95 or 95%, and the significance level \alpha=0.05 and \alpha/2 =0.025 and the critical value is given by t_{\alpha/2}=1.96

Replcing into the formula for the confidence interval is given by:

7.38-1.96\frac{2.51}{\sqrt{601}}=7.18    

7.38+1.96\frac{2.51}{\sqrt{601}}=7.58    

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7.18 \leq \mu \leq 7.58

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