A particle begins at the origin and moves successively in the following manner as shown: 1 unit ... VIDEO
A particle begins at the origin and moves successively in the following manner as shown: 1 unit to the right, \( 1 / 2 \) unit up, \( 1 / 4 \) unit to the right, \( 1 / 8 \) unit down, \( 1 / 16 \) 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 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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