Helen's Bog

Chapter 13

Definitions:

Arithmetic Sequence- when you add or subtract to get the next term in the pattern.

Geometric Sequence- when you divide or multiply to get the next term in the pattern.

Examples:

1) Find the next four term 5,11,17,23,....

The sequence is arithmetic because you would add 6 to get the next term.

5+6=11
11+6=17
17+6=23
23+6=29
29+6=35
35+6=41
41+6=47

Answer : 29,35,41,47

2) Find the next four terms 2,6,18,54

The sequence is geometric because you would multiply by 5 to get the next four terms.

2x3=6
6x3=18
18x3=54
54x3=162
162x3=486
486x3=1458
1458x3=4374

Answer: 162,486,1458,4374


Limits

1) If the top and bottom exponent is equal , then the answer would be the coefficients.
2)If the top exponent is greater than the bottom, then the answer would be infinite.
3)If the top exponent is lesser than the bottom, then the answer would be zero.