Demonstrate understanding of arithmetic and geometric (finite and infinite) sequences and series.
[CN , PS, R, T]
| (a) |
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| (b) |
Provide an example of a sequence that follows an identifiable pattern, but that is neither arithmetic nor geometric. |
| (c) |
Provide an example of an arithmetic or geometric sequence that is relevant to one’s self, family, or community. |
| (d) |
Generate arithmetic or geometric sequences from provided information. |
| (e) |
Develop, generalize, explain, and apply a rule and other strategies for determining the values of $t_1, a, d, n, `or t_n$ in situational questions that involve arithmetic sequences. |
| (f) |
Develop, generalize, explain, and apply a rule and other strategies for determining the values of $t_1, a, d, n, `or S_n$ in situational questions that involve arithmetic series. |
| (g) |
Solve situational questions that involve arithmetic sequences and series. |
| (h) |
Develop, generalize, explain, and apply a rule and other strategies for determining the values of $t_1, a, r, n, `or t_n$ in situational questions that involve geometric sequences. |
| (i) |
Develop, generalize, explain, and apply a rule and other strategies for determining the values of $t_1, a, r, n, `or S_n$ in situational questions that involve geometric series. |
| (j) |
Develop, generalize, and explain a rule and strategies for determining the sum of an infinite geometric series and apply this knowledge to the solving of situational questions. |
| (k) |
Analyze a geometric series to determine if it is convergent or divergent and explain the reasoning. |
