Given sequence has first five terms 1,1/2,1/4,1/8,1/16 .
This is a Geometric progression with first term (a)(a)(a) =1=1=1 and common ratio (r)=12(r) = \frac{1}{2}(r)=21 .
Hence, its general term is an=arn−1a_n = a r^{n-1}an=arn−1
⟹ an=12n−1\implies a_n = \frac{1}{2^{n-1}}⟹an=2n−11 .
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