A particle begins at the origin and moves successively in the follo...

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A particle begins at the origin and moves successively in the following manner as shown, 1 unit to the right, \( \quad 1 / 2 \) unit up, \( \quad 1 / 4 \) unit to the right, 1/8 unit down, \( \quad 1 / 16 \) unit to the right etc .
The length of each move is half the length of the previous move and movement continues in the 'zigzag' manner indefinitely. The co-ordinates
W of the point to which the 'zigzag' converges is
- (A) \( (4 / 3,2 / 3) \)
(B) \( (4 / 3,2 / 5) \)
(C) \( (3 / 2,2 / 3) \)
(D) \( (2,2 / 5) \)
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