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The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after ‘Iteration n’ is: Note: The figures shown are representative.

1. (5/3)^(n/2)
2. (5/3)ⁿ
3. (5/3)^(2n)
4. (5/3)^(n(2n−1))

Correct answer: (5/3)ⁿ

Solution

The correct option reflects the exponential growth of the curve's length with each iteration, indicating that the length increases by a factor of (5/3) for each complete iteration, resulting in a total length of (5/3)ⁿ after n iterations.

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