Mathematics: What is the funtion notation of this sequence?: 2.5,7.5,22.5,67.5,202.5?

What is the funtion notation of this sequence?: - id257788199, michelleperezmp58

Ответ:

KpopJess

02.02.2022

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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Ответ:

cocoarockford

18.06.2021

Mathematics

Hey! On the back of the book, there are pages that should start with the letter R. All of those pages are the answers for the ODD problems. Let me know if this helps!

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What is the funtion notation of this sequence?: 2.5,7.5,22.5,67.5,202.5?

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