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

Algebra ->  Equations -> SOLUTION: Simplify {{{1/3}}} + {{{3/3^2}}} + {{{3^2/3^3}}} + . . . + {{{3^2999/3^3000}}}      Log On


   

Question 1188517: Simplify 1%2F3 + 3%2F3%5E2 + 3%5E2%2F3%5E3 + . . . + 3%5E2999%2F3%5E3000
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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We have a series of equal fractions.


Each fraction is  1%2F3.


The number of fractions is 3000.


So, the total sum is  3000%2F3 = 1000.      ANSWER