Mathematics
07.04.2021 04:22
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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?: 2.5,7.5,22.5,67.5,202.5?
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Juicebox18
Juicebox18
5,0(64 marks)

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}

BeeShyanne
BeeShyanne
4,4(88 marks)

B

Step-by-step explanation:

SAS congruence means that an the concruent angle is found between the two congruent sides. To prove this, IJ and ST must be congruent (so that the angle is between the sides)

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