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h(n)=−13nh(n) = -13n complete the recursive formula of h(n)h(n)

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Full solution

Q. h(n)=−13nh(n) = -13n complete the recursive formula of h(n)h(n)
  1. Identify Pattern: Identify the function's pattern. h(n)=−13nh(n) = -13n shows a linear relationship where each term is −13-13 times its position nn.
  2. Establish Base Case: Establish the base case for the recursive formula. Let's choose h(1)=−13h(1) = -13 as the starting point.
  3. Develop Recursive Formula: Develop the recursive part of the formula. Since each term is −13-13 times its position, the next term h(n+1)h(n+1) can be derived by adding −13-13 to the previous term h(n)h(n). So, h(n+1)=h(n)−13h(n+1) = h(n) - 13.

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