SOLUTION: Simplify {{{ (1/3)+(3/(3^2))+((3^2)/(3^3))+((3^3)/(3^4))+... }}} + {{{ ((3^2999)/(3^3000)) }}}

Question 1104110: Simplify +
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

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<� Assertion
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Proof of by induction�
We already see it is true for n=3,4,5, assume it is true for n.
Then

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To the student:
= partial sum (S is often used for this purpose). I found the first few partial sums to see if there was a pattern. That allowed me to assert , then I proved that assertion by induction so I could safely use it to compute .

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