u_{n}=2n-1/n eching

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

n uchun yechish

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

$$u_{n}\neq 2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

n qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini n ga ko'paytirish.

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

Ikkala tarafdan 2n ni ayirish.

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

n'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Ikki tarafini u_{n}-2 ga bo‘ling.

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

u_{n}-2 ga bo'lish u_{n}-2 ga ko'paytirishni bekor qiladi.

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

n qiymati 0 teng bo‘lmaydi.

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

u_n uchun yechish

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

$$n\neq 0$$