Understanding sequences

Sequences practice problems.

Problem

If space, a, start subscript, n, end subscript, equals, left parenthesis, minus, 1, right parenthesis, start superscript, n, plus, 2, end superscript, left parenthesis, start fraction, 6, divided by, 5, end fraction, right parenthesis, left parenthesis, start fraction, 4, divided by, 7, end fraction, right parenthesis, start superscript, n, minus, 5, end superscript, determine space, a, start subscript, 3, end subscript, space.
  • 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