Answer
Just put the position value of the number in the formula and evaluate.
Work Step by Step
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 $\left\{ 1,4,9,16,25 \right\}$.
