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Question

If 1,x,y,z,2 are in geometric progression, then xyz=?


A

22

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B

4

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C

8

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D

None of these

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Solution

The correct option is A

22


Explanation for the correct answer:

Let a be the first term of the geometric progression and r be the common ratio

Then, a=1

a×r=x

a×r2=y

a×r3=z

a×r4=2

r4=2 ...a=1

r2=2

xyz=ar×ar2×ar3

xyz=a3r6

xyz=a3×r23

Substitute the values of a=1,r2=2 we get,

xyz=22

Hence, option A is the correct answer.


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