Converting recursive & explicit forms of geometric sequences

You might need: Calculator

Problem

f, left parenthesis, n, right parenthesis, equals, 5, dot, left parenthesis, minus, 2, right parenthesis, start superscript, space, n, minus, 1, end superscript
Complete the recursive formula of f, left parenthesis, n, right parenthesis.
f, left parenthesis, 1, right parenthesis, equals
  • Your answer should be
  • an integer, like 6
  • 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
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
f, left parenthesis, n, right parenthesis, equals, f, left parenthesis, n, minus, 1, right parenthesis, dot
  • Your answer should be
  • an integer, like 6
  • 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
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i