Other
Other
Other
Examples
Example 2 The following sequence models square numbers:
Similar to the triangular numbers, square numbers make perfect squares from rows of dots. The symbolic pattern for this sequence can be modeled by the quadratic function
.
Example 3 The following sequence models cube numbers.
1, 4, 9, 16, 25, 36, 64 ....
Similar to the triangular numbers, square numbers make perfect squares from rows of dots. The symbolic pattern for this sequence can be modeled by the quadratic function
. Example 3 The following sequence models cube numbers.
1, 8, 27, 64, 125, 261 ....
The symbolic pattern for this sequence is to add 7 to the first term, add 19 to the second term, add 37 to the fourth term, and so on. This type of sequence has a constant third difference and can be modeled by the cubic function 
.