Define the sequence ao, a,... recursively as follows: set ao = 2020 and, for all integers...

     

Transcribed Image Text:

Define the sequence ao, a,... recursively as follows: set ao = 2020 and, for all integers n > 1, if an-1 is even then an an-1/2, otherwise an = 3an-1 +1. (a) Write down the first seven values a0, a1, a2, a3, A4, A5, A6. (b) In fact, a63 = 1 and an 2 for all n = {0,..., 62}. Determine the values a62, 061, 060, a59. [2] [4] Define the sequence ao, a,... recursively as follows: set ao = 2020 and, for all integers n > 1, if an-1 is even then an an-1/2, otherwise an = 3an-1 +1. (a) Write down the first seven values a0, a1, a2, a3, A4, A5, A6. (b) In fact, a63 = 1 and an 2 for all n = {0,..., 62}. Determine the values a62, 061, 060, a59. [2] [4]