The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 29 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.8 years and a sample variance of 77.4 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls. In order to calculate the t statistic, you first need to calculate the estimated standard error.

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Ответ:

KpopJess

03.05.2020

Mathematics

$f(n)= 2.5(3)^{n-1}$

Step-by-step explanation:

The given sequence : 2.5,7.5,22.5,67.5,202.5

here first term (a)= 2.5

Second term = 7.5

Third term = 22.5 and so on

The difference between the two consecutive terms is increasing but have common ratio as:

Common ratio (r) = $\dfrac{Second\ term}{First\ term}=\dfrac{7.5}{2.5}=3$

So this sequence follows geometric progression.

nth term in GP = $ar^{n-1}$

Required function notation: $f(n)=ar^{n-1}= 2.5(3)^{n-1}$

i.e. the function notation of given sequence : $f(n)= 2.5(3)^{n-1}$

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