Chapter 2
   NUMBER SEQUENCES
Lesson 1 - Arithmetic Sequences
1 2 3 4 5 6 7 8 9 10 11 ...
A number sequence is an arrangement
of numbers in which each successive
number follows the last according to a
uniform rule.
Other definitions....


The numbers in the sequence are called “terms.”
When a parachutist jumps from an
airplane, the distances in feet traveled
   during the first few seconds are



  16 48 8...
16 48 80 112 144 ...

    This sequence is similar to the
sequence of counting numbers in that
each successive term can be...
16 48 80 112 144 ...
+ 32 + 32   + 32   + 32
Arithmetic sequences

 A number sequence in which each successive term may be
found by adding the same number is an arithm...
The common difference

 The number added to each term of an arithmetic
  sequence to form the next term is also called the...
Too Complicated??


      Try some.
Common Difference?

       3!



                 2 5 8 11 14
Common
  Difference?


      -2         11 9 7 5 3
(Remember it’s
 going down!)
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Ch2 Les1

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Ch2 Les1

  1. 1. Chapter 2 NUMBER SEQUENCES Lesson 1 - Arithmetic Sequences
  2. 2. 1 2 3 4 5 6 7 8 9 10 11 ...
  3. 3. A number sequence is an arrangement of numbers in which each successive number follows the last according to a uniform rule.
  4. 4. Other definitions.... The numbers in the sequence are called “terms.”
  5. 5. When a parachutist jumps from an airplane, the distances in feet traveled during the first few seconds are 16 48 80 112 144 ...
  6. 6. 16 48 80 112 144 ... This sequence is similar to the sequence of counting numbers in that each successive term can be found by adding the same number to the preceding term.
  7. 7. 16 48 80 112 144 ... + 32 + 32 + 32 + 32
  8. 8. Arithmetic sequences A number sequence in which each successive term may be found by adding the same number is an arithmetic sequence.
  9. 9. The common difference The number added to each term of an arithmetic sequence to form the next term is also called the difference between each pair of successive terms. It is called the common difference of the sequence.
  10. 10. Too Complicated?? Try some.
  11. 11. Common Difference? 3! 2 5 8 11 14
  12. 12. Common Difference? -2 11 9 7 5 3 (Remember it’s going down!)

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