1)Can the branch length for each of the new branches be described with a geometric sequence to cover a number of stages? Explain and justify your answer using complete sentences. If so, find the explicit form for the length of each branch. 2.) Can the number of new branches at each stage be described with a geometric sequence to cover any number of stages? Explain and justify your answer using complete sentences. If so, find the recursive rule for the number of new branches. 3.) Can the total length of the new branches at each stage be modeled with a geometric sequence? Explain and justify your answer using complete sentences. (The total length of the new branches is the sum of the lengths of all the new branches.) If so, find either the recursive rule or the explicit form for the total length of the new branches, and explain why you chose to write it in one form rather than the other.