Unit 1, Lesson 7
Representing More Sequences
Algebra 2
Sign in to view assessments and invite other educators
Sign in using your existing Kendall Hunt account. If you don’t have one, create an educator account.
Sometimes we need only a little bit of information to say a lot about a function. Let's say we know the function is a geometric sequence with a growth factor of and a starting term of 20.25. From here, we can calculate that the terms in the sequence after 20.25 are 13.5, 9, 6, 4, and so on because, in a geometric sequence, we multiply the current term by the growth factor to get to the next term.
We can also make a table of values showing how the terms are calculated. Or we can make a graph, which would help us see that isn't linear if we didn't already know it is a geometric sequence.
| 1 | 20.25 |
| 2 | |
| 3 | |
| 4 | |
| 5 |
Graph of a discrete function, H, origin “O”. Horizontal axis, "n," with scale from 0 to 6, by 1’s. Vertical axis, with scale 0 to 24 by 1’s. Coordinates plotted (1 comma 20 point 25), (2 comma 13 point 5), (3 comma 9), (4 comma 6), (5 comma 4).
Using function notation, we can say that for