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The following sequence is a fibonacci sequence:0, 1, 1, 2, 3, 5, 8, 13, 21,…..Which technique can be used to get the nth fibonacci term? Recursion Dynamic programming  A single for loop  Recursion, Dynamic Programming, For loops

Question

The following sequence is a fibonacci sequence:0, 1, 1, 2, 3, 5, 8, 13, 21,…..Which technique can be used to get the nth fibonacci term? Recursion Dynamic programming  A single for loop  Recursion, Dynamic Programming, For loops

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Solution

All three techniques can be used to get the nth Fibonacci term.

  1. Recursion: This is a straightforward method based on the mathematical definition of the Fibonacci sequence. However, it has a high time complexity due to the repeated computation of the same subproblems.

  2. Dynamic Programming: This method stores the results of subproblems to avoid repeated computation, thus reducing the time complexity.

  3. A single for loop: This method iteratively computes each Fibonacci term from 0 to n. It has the lowest time complexity and is the most efficient among the three methods.

So, the answer is "Recursion, Dynamic Programming, For loops".

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