Lesson Worksheet: Geometric Mean Mathematics • 10th Grade

In this worksheet, we will practice finding geometric means between two nonconsecutive terms of a geometric sequence.

Q1:

Find the geometric mean of 16 and 4.

Q2:

Find the geometric mean of and .

Q3:

Find the geometric mean of the numbers .

Q4:

Find the geometric means of the sequence .

• A  or
• B  or
• C  or
• D  or

Q5:

Insert five positive geometric means between and .

• A
• B
• C
• D

Q6:

Find the geometric mean of and .

• A
• B
• C
• D

Q7:

Find two positive numbers given the geometric mean is 42 and the sum is 85.

• A2, 21
• B2, 83
• C36, 49
• D49, 134
• E36, 121

Q8:

Find the number of geometric means inserted between 82 and 1,312 given the sum of the last two means equals twice the sum of the first two means.

Q9:

The ratio , so 4 is the geometric mean of and . Find the geometric mean of and .

Q10:

The first term of a geometric sequence is 2, and its third term is 7. If the common ratio is negative, what is the second term?

• A
• B
• C7
• Dcannot be determined
• E

This lesson includes 21 additional questions and 196 additional question variations for subscribers.