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 –
- (4/3, 2/3)
- (4/3, 2/5)
- (3/2, 2/3)
- (2, 2/5)
Answer:The correct answer is: (4/3, 2/5)
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