Lesson Worksheet: Geometric Mean Mathematics

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 3 and 6.

Q3:

Find the geometric mean of the numbers 6,72,108and.

Q4:

Find the geometric means of the sequence (2,,,,4,802).

  • A16,128,1,024  or16,128,1,024
  • B14,98,686,4,802  or14,98,686,4,802
  • C16,128,1,024,8,192  or16,128,1,024,8,192
  • D14,98,686  or14,98,686

Q5:

Insert five positive geometric means between 2138 and 67219.

  • A2176,21152,21304,21608,211,216
  • B2119,4219,8419,16819,33619
  • C2176,21152,21304,21608,211,216
  • D2119,4219,8419,16819,33619

Q6:

Find the geometric mean of 9𝑥 and 36𝑦.

  • A18𝑥𝑦
  • B18𝑥𝑦
  • C18𝑥𝑦
  • D18𝑥𝑦

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 𝑥4=4𝑦, so 4 is the geometric mean of 𝑥 and 𝑦. Find the geometric mean of 𝑥+1𝑦 and 𝑦+1𝑥.

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?

  • A14
  • B14
  • C7
  • Dcannot be determined
  • E14

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

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