Arithmetic Sequences and Series
| Сайт: | Young Education |
| Курс: | Sequences and Series |
| Книга: | Arithmetic Sequences and Series |
| Надруковано: | Invitado |
| Дата: | пʼятниця 25 вересня 2026 01:53 AM |
1. Arithmetic Sequences
Learning outcomes
- I can define an arithmetic sequence as a sequence with a constant difference between consecutive terms.
- I can identify the common difference in an arithmetic sequence.
- I can determine whether a sequence is arithmetic.
- I can generate terms in an arithmetic sequence.
- I can describe arithmetic patterns using mathematical language.
2. The nth Term Formula
Learning outcomes
- I can explain the purpose of an nth term formula.
- I can determine the nth term formula for an arithmetic sequence.
- I can use the nth term formula to find specific terms.
- I can predict distant terms without listing the entire sequence.
- I can verify whether a formula correctly describes a sequence.
3. Graphing Arithmetic Sequences
Learning outcomes
- I can create a table of values for an arithmetic sequence.
- I can graph arithmetic sequence terms on a coordinate plane.
- I can recognize that arithmetic sequences produce linear patterns.
- I can interpret the meaning of the common difference on a graph.
- I can connect arithmetic sequences to linear relationships.
4. Arithmetic Series
Learning outcomes
- I can define an arithmetic series as the sum of the terms in an arithmetic sequence.
- I can distinguish between a sequence and a series.
- I can calculate the sum of a finite arithmetic series by adding terms directly.
- I can represent arithmetic series using mathematical notation.
- I can solve simple problems involving arithmetic series.
5. Sum Formulas for Arithmetic Series
Learning outcomes
- I can explain why a formula can be used to find the sum of an arithmetic series.
- I can identify the values needed to use an arithmetic series formula.
- I can calculate the sum of an arithmetic series using a formula.
- I can compare formula-based solutions with direct addition.
- I can apply arithmetic series formulas to real-world situations.