Is it possible to this sequence?

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Homework Statement


given:

Vn+1=Vn*cos(pi/2^(n+2)) and Vn= pi/2


Homework Equations



Write Vn in terms of n

The Attempt at a Solution



how can i start this. I already know that -1<cosx<1 and I've already proved that this sequence is a negative sequence. Then our teacher said if its possible to write Vn in terms of n?
 
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Wrong attachement.
 

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correct attachment:
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