Resolver 1/2(n+1)(n+2)

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

Avaliar

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

Passos Para a Resolução

Utilize a propriedade distributiva para multiplicar \frac{1}{2} por n+1.

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

Aplique a propriedade distributiva ao multiplicar cada termo de \frac{1}{2}n+\frac{1}{2} por cada termo de n+2.

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

Multiplique n e n para obter n^{2}.

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

Anule 2 e 2.

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

Combine n e \frac{1}{2}n para obter \frac{3}{2}n.

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

Anule 2 e 2.

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

Expandir

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

Passos Para a Resolução

Utilize a propriedade distributiva para multiplicar \frac{1}{2} por n+1.

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

Aplique a propriedade distributiva ao multiplicar cada termo de \frac{1}{2}n+\frac{1}{2} por cada termo de n+2.

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

Multiplique n e n para obter n^{2}.

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

Anule 2 e 2.

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

Combine n e \frac{1}{2}n para obter \frac{3}{2}n.

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

Anule 2 e 2.

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