Question: Show that the partial sum Sn defined by the recursion formula: Sn+1 = 3Sn with S1 = 1, converges to 3. Use mathematical induction.

Show that the partial sum Sn defined by the recursion formula:
Sn+1 = √3Sn
with S1 = 1, converges to 3. Use mathematical induction.

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