The document discusses arithmetic sequences, which are number sequences where each term is calculated by adding the same number, called the common difference, to the preceding term. It provides examples of arithmetic sequences like 16, 48, 80, 112, 144 where each term is found by adding 32 to the previous term, making 32 the common difference. Another example is the sequence 2, 5, 8, 11, 14 which has a common difference of 3.

1. Chapter 2
NUMBER SEQUENCES
Lesson 1 - Arithmetic Sequences

2. 1 2 3 4 5 6 7 8 9 10 11 ...

3. A number sequence is an arrangement
of numbers in which each successive
number follows the last according to a
uniform rule.

4. Other definitions....
The numbers in the sequence are called “terms.”

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. 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. 16 48 80 112 144 ...
+ 32 + 32 + 32 + 32

8. Arithmetic sequences
A number sequence in which each successive term may be
found by adding the same number is an arithmetic sequence.

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. Too Complicated??
Try some.

11. Common Difference?
3!
2 5 8 11 14

12. Common
Difference?
-2 11 9 7 5 3
(Remember it’s
going down!)