How do you find two geometric means between 3 and 375?

Answer 1

If the common ratio is #r#, then ...

#3xxr^3=375#

Solving for r:

#r^3=375/3=125#
#r=5#

Geometric Sequence is ...

#3, 15, 75, 375#

hope that helped

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Answer 2

To find two geometric means between 3 and 375, you first need to determine the common ratio (( r )) of the geometric sequence formed by these numbers. The formula to find the geometric mean is ( \sqrt{a \times b} ), where ( a ) and ( b ) are the two numbers between which you want to find the geometric mean.

Given ( a = 3 ) and ( b = 375 ), the common ratio (( r )) can be found by dividing the larger number by the smaller one:

[ r = \frac{b}{a} = \frac{375}{3} = 125 ]

Once you have the common ratio (( r )), you can find the geometric means by repeatedly applying the formula:

[ \text{First geometric mean} = \sqrt{3 \times 125} ] [ \text{Second geometric mean} = \sqrt{125 \times 375} ]

Calculating these values:

[ \text{First geometric mean} = \sqrt{375} \approx 19.364 ] [ \text{Second geometric mean} = \sqrt{46875} \approx 216.506 ]

Therefore, the two geometric means between 3 and 375 are approximately 19.364 and 216.506.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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