Geometric Mean Theorem

Geometric Mean Lesson

Similarity

Students will be able to:

• Define the geometric mean

• Calculate the geometric mean

• Identify a missing number in a geometric sequence

• Use the geometric mean to find the altitude

Fill in the Blank

What is the geometric mean of 4 and 25?

Fill in the Blank

What is the Geometric Mean of 32 and 8?

Multiple Choice

What is the Geometric Mean between 6 and 30?

• $$6\sqrt{2}$$

• $$5\sqrt{2}$$

• $$6\sqrt{5}$$

Multiple Choice

What is the Geometric Mean between 10 and 20?

• $$10\sqrt{5}$$

• $$10\sqrt{2}$$

• $$10\sqrt{3}$$

Fill in the Blank

What is the geometric mean of {1,3,9,27,81}

Fill in the Blank

What is the geometric mean of the sequence {2,12,72,432,2592)

Fill in the Blank

What is the missing number Geometric mean in the sequence: {99,33,_,3 2/3}

Multiple Choice

Find three geometric means between 2 and 32.

• 6,8,10

• 6,10,14

• 4,8,16

• 10,12,14

Multiple Choice

Solve for the missing information using geometric means.

• $$3\sqrt{2}$$

• $$2\sqrt{2}$$

• $$2\sqrt{3}$$

Multiple Choice

Solve for the missing information using geometric means.

• $$8\sqrt{2}$$

• $$6\sqrt{2}$$

• $$10\sqrt{2}$$

Fill in the Blank

Solve for the missing information using geometric means.

Poll

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