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Series basics challenge

Problem

Find the sum of the telescoping series given below.
sum, start subscript, n, equals, 1, end subscript, start superscript, infinity, end superscript, space, start fraction, 3, divided by, n, squared, plus, 3, n, plus, 2, end fraction
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
Stuck?
Stuck?