| Summary: | This lesson is the study of arithmetic sequences. It begins with the terminology of a sequence, and then moves on to arithmetic sequences.
The main focus of this lesson is using the general term formula to find any term of an arithmetic sequence as well as finding the first term, the common difference and the number of terms.
Work is also done with arithmetic means, using a system of equations to solve problems, and applications involving an arithmetic sequence.
After this lesson, you will be able to:
- identify an arithmetic sequence and understand the terminology of a sequence,
t1 t2 tn a, d, n, .
- use the general term formula for an Arithmetic Sequence:
to find:
- a specific term, tn
- the first term, a
- the common difference, d
- the number of terms, n
- the position of the term being considered.
- insert an arithmetic mean, AM, into an arithmetic sequence.
- use a system of equations to solve questions.
- use arithmetic sequences to solve word problems.
|