Chapter 9 Sequences and Series

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• Lesson 2-1 Evaluating Functions

  For each function, find f ( 1 ) , f ( 2 ) , f ( 3 ) , f open 1 close comma f open 2 close comma f open 3 close comma  and f ( 4 ) . f open 4 close .

  1. f ( x ) = 2 x + 7 f open x close equals . 2 x plus 7
  2. f ( x ) = 5 x − 4 f open x close equals 5 x minus 4
  3. f ( x ) = 0.2 x + 0.7 f open x close equals 0.2 x plus 0.7
  4. f ( x ) = − 5 x + 3 f open x close equals negative 5 x plus 3
  5. f ( x ) = 4 x − 2 3 f open x close equals . 4 x minus , 2 thirds
  6. f ( x ) = − 3 x − 9 f open x close equals negative 3 x minus 9

• Lesson 1-1 Identifying Mathematical Patterns

  Identify a pattern and find the next three numbers in the pattern.

  7. 9 , 4 , − 1 , − 6 , … 9 comma 4 comma negative 1 comma negative 6 comma dot dot dot
  8. 1 , 2 , 4 , 8 , … 1 comma 2 comma 4 comma 8 comma dot dot dot
  9. 18 , 9 , 10 , 1 , 2 , … 18 comma 9 comma 10 comma 1 comma 2 comma dot dot dot
  10. 7 , 10 , 13 , 16 , … 7 comma 10 comma 13 comma 16 comma dot dot dot

• Lesson 8-5 Simplifying Complex Fractions

  Simplify each complex fraction.

  11. 1 − 1 3 1 2 fraction 1 minus , 1 third , over 1 half end fraction
  12. 1 3 + 1 6 2 3 fraction 1 third , plus , 1 sixth , over 2 thirds end fraction
  13. 1 1 − 2 5 fraction 1 , over 1 minus , 2 fifths end fraction
  14. 1 − 3 8 2 + 1 4 fraction 1 minus , 3 eighths , over 2 plus , 1 fourth end fraction

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