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MAVERICK [17]
2 years ago
6

Type your questiona circle has a diameter of 81 pie square units. what is the diameter of the circle?

Mathematics
1 answer:
ryzh [129]2 years ago
7 0
I think your question should read "A circle has an AREA of 81 PI square units...)
Circle Area = PI * radius^2
81 PI = PI * radius ^2
radius^2 = 81 PI / PI
radius^2 = 81
radius = 9
Therefore circle diameter = 9 * 2 = 18


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3 years ago
The question is in the image below.
sineoko [7]

Answer:

The Recursive Formula for the sequence is:

\:a_n=\frac{1}{5}\left(a_{n-1}\right)     ; a₁ = 125

Hence, option D is correct.

Step-by-step explanation:

We know that a geometric sequence has a constant ratio 'r'.

The formula for the nth term of the geometric sequence is

a_n=a_1\cdot r^{n-1}

where

aₙ is the nth term of the sequence

a₁ is the first term of the sequence

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We are given the explicit formula for the geometric sequence such as:

a_n=125\left(\frac{1}{5}\right)^{n-1}

comparing with the nth term of the sequence, we get

a₁ = 125

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Recursive Formula:

We already know that

  • a₁ = 125
  • r = 1/5

We know that each successive term in the geometric sequence is 'r' times the previous term where 'r' is the common ratio.

i.e.

a_n=ra_{n-1}

Thus, substituting r = 1/5

\:a_n=\frac{1}{5}\left(a_{n-1}\right)  

and a₁ = 125.

Therefore, the Recursive Formula for the sequence is:

\:a_n=\frac{1}{5}\left(a_{n-1}\right)     ; a₁ = 125

Hence, option D is correct.

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Answer:

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Step-by-step explanation:

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