GMAT Question > If v* = (1/v), find the value ofv* + (v*)* + ...

If v* = (1/v), find the value of

v* + (v*)* + ((v*)*)* if v = 1/2.

- a)3
- b)7/2
- c)4
- d)9/2
- e)5

Correct answer is option 'D'. Can you explain this answer?

A function has been defined called v* such that v* = 1v

v = 1/2

=> v*=1v=2

=> (v*)* = (2)* = 1/2

=> ((v*)*)* = (1/2)* = 2

=> v* + (v*)* + ((v*)*)* = 2 + 1/2 + 2 = 9/2.

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Step 1: Question statement and InferencesA function has been defined called v* such that v* =1vStep 2 3: Finding required values and calculating the final answerv = 1/2=v*=1v=2= (v*)* = (2)* = 1/2= ((v*)*)* = (1/2)* = 2= v* + (v*)* + ((v*)*)* = 2 + 1/2 + 2 = 9/2.Answer: Option (D)