The nth term of a sequence is given by 2n+1.Write down the first four terms of the sequence.
1 answer:
Answer:
<em>x, 2x+1, 4x+3, 8x+7</em>
Step-by-step explanation:
If we call the first term <em>x</em>, then the subsequent term is <em>2x+1</em>. Then, the next term is <em>2(2x+1)+1=4x+2+1=4x+3</em>. Then, the fourth term is <em>2(4x+3)+1=8x+6+1=8x+7</em>.
As a matter of fact, the <em>n</em>th term is given by for starting term <em>x</em>.
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Answer:
E. -0.723
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.
Step-by-step explanation:
Information provided
represent the sample mean for the length
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
since we don't know the population deviation the statistic is:
(1)
Replacing in formula (1) we got:
E. -0.723
P value
The degrees of freedom are given by:
Since is a two tailed test the p value would be:
Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.