Question: 3. Consider the sequence defined recursively by ao = 0, an = an-1 + 3n - 1. a) Write out the first 5 terms

3. Consider the sequence defined recursively by ao = 0, an = an-1 + 3n - 1. a) Write out the first 5 terms of

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. a, az, az and b) Prove by induction on n 0 that an = ! n(3n+1) 2

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