Final answer:
For the Fibonacci number F7, a recursive algorithm will use a total of 19 additions due to the repeated calculations. Neither of the given options A, B, C, or D matches these results.
Step-by-step explanation:
The question asks how many additions are used by recursive and iterative algorithms to find the Fibonacci number F7. For the recursive algorithm, which is usually defined as F(n) = F(n-1) + F(n-2), each call to F(n) results in two additional calls until reaching the base cases of F(0) and F(1).
For the iterative algorithm, it starts at the base cases and works its way up, storing the results of each computation and using them to calculate the next value without redundancies. It performs one addition per iteration, starting at the third Fibonacci number and going up to the seventh. This means that for F7, there are 5 additions performed.
Based on the information provided, it appears none of the answer options A, B, C, or D provided in the question match our calculated 19 additions for the recursive algorithm or 5 for the iterative algorithm. Also, it's important to note that we cannot provide an answer in '200000 words' as requested.