Question: 2. [10] Computing numbers in a sequence Consider a sequence Sn of numbers defined by the following recurrence. Sn=122Sn1+3Sn2n=1n=2n>2 Our job in this question is

2. [10] Computing numbers in a sequence Consider a sequence Sn of numbers defined by the following recurrence. Sn=122Sn1+3Sn2n=1n=2n>2 Our job in this question is to design an efficient algorithm Get(n) that returns Sn given a natural number n1. (a) Below is a naive implementation of the Gets function. Use the recursion tree method to show that the above algorithm's runtime is in (ct) for some constant c>1, Le, it has the exponential runtime that is unacceptably blow. In your PDF, you may include, in additional to your arguments, a picture of the tree that you draw by hand or with a diagram creating tool

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