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

User Srakyi
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1 Answer

4 votes

Answer:
f(n)= 2.5(3)^(n-1)

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) =
(Second\ term)/(First\ term)=(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)

User Familia
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