Whakaoti i te u_{n}=2n-1/n

$$u _ { n } = \frac { 2 n - 1 } { n }$$

Whakaoti mō n

$$n=-\frac{1}{u_{n}-2}$$

$$u_{n}\neq 2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe n ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te n.

$$u_{n}n=2n-1$$

Tangohia te 2n mai i ngā taha e rua.

$$u_{n}n-2n=-1$$

Pahekotia ngā kīanga tau katoa e whai ana i te n.

$$\left(u_{n}-2\right)n=-1$$

Whakawehea ngā taha e rua ki te u_{n}-2.

$$\frac{\left(u_{n}-2\right)n}{u_{n}-2}=-\frac{1}{u_{n}-2}$$

Mā te whakawehe ki te u_{n}-2 ka wetekia te whakareanga ki te u_{n}-2.

$$n=-\frac{1}{u_{n}-2}$$

Tē taea kia ōrite te tāupe n ki 0.

$$n=-\frac{1}{u_{n}-2}\text{, }n\neq 0$$

Whakaoti mō u_n

$$u_{n}=2-\frac{1}{n}$$

$$n\neq 0$$