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nth term of an arithmetic progression (advanced)

Problem

The sum of three consecutive terms of an arithmetic progression is 204.
The third term is 26 less than twice the first term.
Find the common difference, d.
d=
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi