Whakaoti i te a_{n}=7/n+2

$$a _ { n } = \frac { 7 } { n + 2 }$$

Whakaoti mō n

$$n=-2+\frac{7}{a_{n}}$$

$$a_{n}\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe n ki -2 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te n+2.

$$a_{n}\left(n+2\right)=7$$

Whakamahia te āhuatanga tohatoha hei whakarea te a_{n} ki te n+2.

$$a_{n}n+2a_{n}=7$$

Tangohia te 2a_{n} mai i ngā taha e rua.

$$a_{n}n=7-2a_{n}$$

Whakawehea ngā taha e rua ki te a_{n}.

$$\frac{a_{n}n}{a_{n}}=\frac{7-2a_{n}}{a_{n}}$$

Mā te whakawehe ki te a_{n} ka wetekia te whakareanga ki te a_{n}.

$$n=\frac{7-2a_{n}}{a_{n}}$$

Whakawehe 7-2a_{n} ki te a_{n}.

$$n=-2+\frac{7}{a_{n}}$$

Tē taea kia ōrite te tāupe n ki -2.

$$n=-2+\frac{7}{a_{n}}\text{, }n\neq -2$$

Whakaoti mō a_n

$$a_{n}=\frac{7}{n+2}$$

$$n\neq -2$$