1. The problem asks for the "general term" used to find terms in a sequence or series.
2. The general term is a formula that allows you to find any term in a sequence without listing all previous terms.
3. For an arithmetic sequence, the general term $a_n$ is given by the formula:
$$a_n = a_1 + (n-1)d$$
where $a_1$ is the first term, $d$ is the common difference, and $n$ is the term number.
4. For a geometric sequence, the general term $a_n$ is:
$$a_n = a_1 \times r^{n-1}$$
where $a_1$ is the first term, $r$ is the common ratio, and $n$ is the term number.
5. Knowing the type of sequence (arithmetic or geometric) helps you choose the correct formula.
6. This general term formula is essential to find any term directly without listing all previous terms.
General Term 09027C
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.