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

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

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

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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Which expression is equivalent to the expression below? Select all that apply.

katen-ka-za [31]

Answer:

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Step-by-step explanation:

To simplify this expression, you will need to use the distributive property.

Multiply -2/5 by 15 = - 6, -2/5 by -20d = 8d, and -2/5 by 5c = -2c.

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Hope this helps :)

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