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

The recurrence relation for the linear search recursive algorithm is T(n) = T(n-1) + c.

Here's a step-by-step explanation:

1. In a linear search recursive algorithm, we start by checking the first element.
2. If the first element is not the one we're looking for, we move on to the next element.
3. This process is repeated until we either find the element we're looking for or we've checked all elements.
4. Therefore, the time taken to search n elements is the time taken to search n-1 elements (T(n-1)), plus the time taken to check the current element (c).
5. Hence, the recurrence relation is T(n) = T(n-1) + c.

Please note that the terms T(n-2), 2T(n-1), and T(n+1) are not typically part of the recurrence relation for a linear search recursive algorithm.