Multiple choice

If five geometric means are inserted between 8 and 5832, the fifth term in the geometric series is:

  1. 648

  2. 832

  3. 1168

  4. 1944
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A Correct answer
AI explanation

When five geometric means are inserted between 8 and 5832, the total number of terms in the geometric progression becomes seven. Using the geometric progression formula a_n = a * r^(n-1), we find the common ratio r from the 7th term: 5832 = 8 * r^6, giving r^6 = 729 and r = 3. The fifth term in this series is a_5 = 8 * 3^4 = 8 * 81 = 648.

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