The following figures show three curves generated using an iterative…

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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.

Iteration 0: one segment of length 1. Iteration 1: a stepped curve with each segment of length 1/3. Iteration 2: a finer stepped curve with each segment of length 1/9.
  1. A.

    \(\left(\frac{5}{3}\right)^{n/2}\)

  2. B.

    \(\left(\frac{5}{3}\right)^n\)

  3. C.

    \(\left(\frac{5}{3}\right)^{2n}\)

  4. D.

    \(\left(\frac{5}{3}\right)^{n(2n-1)}\)

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Correct answer: B

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