3. Consider the sequence defined recursively by ao = 0, an = an-1 + 3n -...

   

Transcribed Image Text:

3. Consider the sequence defined recursively by ao = 0, an = an-1 + 3n - 1. a) Write out the first 5 terms of this sequence, i.e. ao. a₁, az, az and b) Prove by induction on n ≥ 0 that an = ! n(3n+1) 2 3. Consider the sequence defined recursively by ao = 0, an = an-1 + 3n - 1. a) Write out the first 5 terms of this sequence, i.e. ao. a₁, az, az and b) Prove by induction on n ≥ 0 that an = ! n(3n+1) 2