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Five numbers in geometric progression are such that their product is 32. FInd the third number.
1. 4
2. 1/2
3. 2
4. 8

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Correct Answer - Option 3 : 2

Given:

Product of 5 numbers in geometric progression = 32

Calculation:

Let the five numbers in geometric progression be ar2, ar, a, a/r, a/r2

⇒ ar2  × ar ×  a ×  a/r ×  a/r2 = 32

⇒ a5 = 32

⇒ a5 = 25 

Powers are same so equating the bases

a = 2 

a is the third number of geometric progression

∴ The third number is 2

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