1/2(n+1)(n+2) eching

$$\frac { 1 } { 2 } ( n + 1 ) ( n + 2 )$$

Baholash

$$\frac{\left(n+1\right)\left(n+2\right)}{2}$$

Yechim qadamlari

\frac{1}{2} ga n+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(\frac{1}{2}n+\frac{1}{2}\right)\left(n+2\right)$$

\frac{1}{2}n+\frac{1}{2} ifodaning har bir elementini n+2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\frac{1}{2}nn+\frac{1}{2}n\times 2+\frac{1}{2}n+\frac{1}{2}\times 2$$

n^{2} hosil qilish uchun n va n ni ko'paytirish.

$$\frac{1}{2}n^{2}+\frac{1}{2}n\times 2+\frac{1}{2}n+\frac{1}{2}\times 2$$

2 va 2 ni qisqartiring.

$$\frac{1}{2}n^{2}+n+\frac{1}{2}n+\frac{1}{2}\times 2$$

\frac{3}{2}n ni olish uchun n va \frac{1}{2}n ni birlashtirish.

$$\frac{1}{2}n^{2}+\frac{3}{2}n+\frac{1}{2}\times 2$$

2 va 2 ni qisqartiring.

$$\frac{1}{2}n^{2}+\frac{3}{2}n+1$$

Kengaytirish

$$\frac{n^{2}}{2}+\frac{3n}{2}+1$$

Yechim qadamlari

\frac{1}{2} ga n+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\left(\frac{1}{2}n+\frac{1}{2}\right)\left(n+2\right)$$

\frac{1}{2}n+\frac{1}{2} ifodaning har bir elementini n+2 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\frac{1}{2}nn+\frac{1}{2}n\times 2+\frac{1}{2}n+\frac{1}{2}\times 2$$

n^{2} hosil qilish uchun n va n ni ko'paytirish.

$$\frac{1}{2}n^{2}+\frac{1}{2}n\times 2+\frac{1}{2}n+\frac{1}{2}\times 2$$

2 va 2 ni qisqartiring.

$$\frac{1}{2}n^{2}+n+\frac{1}{2}n+\frac{1}{2}\times 2$$

\frac{3}{2}n ni olish uchun n va \frac{1}{2}n ni birlashtirish.

$$\frac{1}{2}n^{2}+\frac{3}{2}n+\frac{1}{2}\times 2$$

2 va 2 ni qisqartiring.

$$\frac{1}{2}n^{2}+\frac{3}{2}n+1$$