## Precalculus (6th Edition) Blitzer

To write the terms of a sequence, we have to put the position of the term in the general expression. Example: Let’s assume some arbitrary sequence $S=\left\{ {{a}_{n}} \right\}$, where the general terms ${{a}_{n}}$ are defined by, ${{a}_{n}}={{n}^{2}},n=1,2,...,5$ Therefore, for these sequences, ${{1}^{\text{st}}}$ Term ${{a}_{1}}=1$, ${{2}^{\text{nd}}}$ Term ${{a}_{2}}=4$, ${{3}^{\text{rd}}}$ Term ${{a}_{3}}=9$, ${{4}^{\text{th}}}$ Term ${{a}_{4}}=16$ and ${{5}^{\text{th}}}$ Term ${{a}_{5}}=25$ Hence, the sequence will be $\left\{ 1,4,9,16,25 \right\}$.