Solve {l}{a_{m}=a_{1}+(m-1)d=1/n}{a_{n}=a_{1}+(n-1)d=1/n}

$$\left. \begin{array} { l } { a _ { m } = a _ { 1 } + ( m - 1 ) d = \frac { 1 } { n } } \\ { a _ { n } = a _ { 1 } + ( n - 1 ) d = \frac { 1 } { n } } \end{array} \right.$$

Solve for a_m, a_1, m, d (complex solution)

$$a_{m}=d\left(m-1\right)+a_{1}$$

$$a_{1}\in \mathrm{C}$$

$$m\in \mathrm{C}$$

$$d\in \mathrm{C}$$

Solve for a_m, a_1, m, d

$$a_{m}=d\left(m-1\right)+a_{1}$$

$$a_{1}\in \mathrm{R}$$

$$m\in \mathrm{R}$$

$$d\in \mathrm{R}$$