This document discusses quadratic sequences and functions. It defines quadratic sequences as having a common second difference, unlike linear sequences which have a common first difference and exponential sequences which have a common ratio. Examples are provided to demonstrate how to find the second difference and next term of quadratic sequences. The document also discusses classifying sequences as linear, exponential, quadratic, or neither based on their patterns of differences or ratios.

1. Unit 6 – Quadratic
Functions
6.1 Quadratic
Sequences & Tables

2. Sequence Review
Remember:
Linear Sequences –
◦ Have a common difference
◦ (subtracting consecutive terms
gives same # each time)
Exponential Sequences –
◦ Have a common ratio
◦ (dividing consecutive terms gives
same # each time)

3. Quadratic Sequences
Quadratic Sequences –
◦ Have a common 2nd difference
Example:
1, 4, 9, 16, 25, 36, …
2nd Difference = 2
+3 +5 +7 +9 +11
+2 +2 +2 +2

4. Example:
Find the 2nd difference and the
next term for:
3, 7, 12, 18, 25, …

5. Example:
Find the 2nd difference and the
next term for:
-6, 5, 40, 99, 182, …

6. You Try!
Find the 2nd difference and the
next term for:
12, 56, 130, 234, 368, …

7. Classifying Sequences
Determine if each sequence is
linear, exponential, quadratic, or
neither?
19, 13, 7, 1, -5, …
2, 6, 18, 54, 162, …
-12, -11, -7, 0, 10, …

8. You Try!
Determine if each sequence is
linear, exponential, quadratic, or
neither?
8, 13, 28, 33, 48, …
7, 70, 169, 304, 475, …