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What is the recurrence relation for the linear search recursive algorithm?OptionsT(n+1)+c2T(n-1)+cT(n-2)+cT(n-1)+c

Question

What is the recurrence relation for the linear search recursive algorithm?OptionsT(n+1)+c2T(n-1)+cT(n-2)+cT(n-1)+c

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Solution

The recurrence relation for the linear search recursive algorithm is T(n-1) + c. This is because in each recursive call, the algorithm searches in a list that is one element smaller, hence the (n-1). The "+ c" represents the constant time taken for the operations other than the recursive call, such as the comparison operation.

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