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Have a look at the series : $2,1,(1/2),(1/4),\dots$ What number should come next?

1. $(1/3)$
2. $(1/8)$
3. $(2/8)$
4. $(1/16)$

## 1 Answer

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 = $a r^(n−1)$

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

=$2 * (1/16)$

= $1/8$

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

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