Mathematical induction
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Show by mathematical induction that
1 + 3 + 3^2 + 3^3 + ... + 3^n = ((3^n+1) - 1) / 2
for all positive integers n.
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Solution Summary
The solution provides an example of a mathematical induction proof.
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Proof:
When n = 1, then left side is 1 + 3 = 4, the right side is ((3^(1+1) - 1)/2 = (9 - 1)/2 = 4.
So the equation holds for n = ...
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