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3 years ago

The 6th term is 22 and the common difference is 6. what is the 50th term

1 answer:

4 0

The general formula for an arithmetic sequence is:
a(n) = a + d(n - 1) 

a : first term 
d : common difference (6) 
n : number of the term 

In your example, you are told the 6th term is 22. 
a(6) = a + 6(6 - 1) = 22 
a + 30 = 22 
a = 22 - 30 
a = -8 

So now you have the general formula: 
a(n) = -8 + 6(n - 1) 

If you like you can simplify it: 
a(n) = -8 + 6n - 6 
a(n) = 6n - 14 

Then you can plug in n = 50: 
a(50) = 6(50) - 14 
= 300 - 14 
= 286

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Step-by-step explanation:

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3 years ago

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3 years ago

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3 years ago

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mojhsa [17]

Answer:

A) True

B) False

C) False

D) True

Step-by-step explanation:

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True, because if Mia is enrolled in the university, then she must have lived in a dormitary.

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3 years ago

Two random samples of 40 students were drawn independently from two populations of students. Assume their aptitude tests are nor

dybincka [34]

Answer:

b. Do not reject the null hypothesis

Step-by-step explanation:

Given that two random samples of 40 students were drawn independently from two populations of students. Assuming equal variances

we have the following data.

Sample 1

Mean:

Standard deviation:

Sample size:

Sample 2

Mean:

Standard deviation:

Sample size:

$H_0: \bar x_1=\bar x_2\\H_a: \bar x_1\neq \bar x_2$

Difference -3.000

Standard error 1.681

95% CI -6.3462 to 0.3462

t-statistic -1.785

DF 78

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Since p value >0.05,

b. Do not reject the null hypothesis

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4 years ago