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

Algebra.Com
Question 1188517: Simplify + + + . . . +
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

We have a series of equal fractions.


Each fraction is  .


The number of fractions is 3000.


So, the total sum is   = 1000.      ANSWER


RELATED QUESTIONS

Simplify {{{ (1/3)+(3/(3^2))+((3^2)/(3^3))+((3^3)/(3^4))+... }}} + {{{... (answered by math_helper)
simplify (2^-3+... (answered by MathLover1,stanbon)
Simplify... (answered by Alan3354)
Simplify 2- 1/3 -------- 4 +... (answered by sdmmadam@yahoo.com)
Simplify 3 1/8 - 2... (answered by jim_thompson5910)
Simplify:... (answered by checkley77)
Simplify:... (answered by checkley77)
Simplify (6+ 1/3)/(3... (answered by rfer)
6+(1/3) / 3-(2/9)... (answered by Alan3354)