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**Method1**: It is a series of numbers where the next number is half of its previous number.

2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4 (1/4)/2 = 1/8

option B is correct.

**Method 2**:The above sequence is a GP (geometric progression) with the first term 2, and the common ratio 1/2.

$ n^th$ term of GP = $ a r^(nā1)$

So, fifth term of GP = $2*(1/2)^4$

=$2 * (1/16)$

= $1/8$

So, next term of GP = $1/8$