Arithmetic progressions

Algebra Level 2

Consider an arithmetic progression of \(n\) terms such that:

  • The sum of the second term and the \(n^{\text{th}}\) term is 1005.
  • The sum of the first term and \({(n - 1)}^{\text{th}}\) term is 991.
  • The sum of all terms of this set is 71357.

Calculate the value of \(n\).


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