Resolver 1/20(1+2(1.0049+1.0198+1.0440+1.0770+1.1180+1.1661+1.2206+1.2806+1.3453+1.4142))

$$\frac{ 1 }{ 20 } (1+2(1.0049+1.0198+1.0440+1.0770+1.1180+1.1661+1.2206+1.2806+1.3453+1.4142))$$

Calcular

$$1.21905$$

Pasos da solución

Suma 1.0049 e 1.0198 para obter 2.0247.

$$\frac{1}{20}\left(1+2\left(2.0247+1.044+1.077+1.118+1.1661+1.2206+1.2806+1.3453+1.4142\right)\right)$$

Suma 2.0247 e 1.044 para obter 3.0687.

$$\frac{1}{20}\left(1+2\left(3.0687+1.077+1.118+1.1661+1.2206+1.2806+1.3453+1.4142\right)\right)$$

Suma 3.0687 e 1.077 para obter 4.1457.

$$\frac{1}{20}\left(1+2\left(4.1457+1.118+1.1661+1.2206+1.2806+1.3453+1.4142\right)\right)$$

Suma 4.1457 e 1.118 para obter 5.2637.

$$\frac{1}{20}\left(1+2\left(5.2637+1.1661+1.2206+1.2806+1.3453+1.4142\right)\right)$$

Suma 5.2637 e 1.1661 para obter 6.4298.

$$\frac{1}{20}\left(1+2\left(6.4298+1.2206+1.2806+1.3453+1.4142\right)\right)$$

Suma 6.4298 e 1.2206 para obter 7.6504.

$$\frac{1}{20}\left(1+2\left(7.6504+1.2806+1.3453+1.4142\right)\right)$$

Suma 7.6504 e 1.2806 para obter 8.931.

$$\frac{1}{20}\left(1+2\left(8.931+1.3453+1.4142\right)\right)$$

Suma 8.931 e 1.3453 para obter 10.2763.

$$\frac{1}{20}\left(1+2\left(10.2763+1.4142\right)\right)$$

Suma 10.2763 e 1.4142 para obter 11.6905.

$$\frac{1}{20}\left(1+2\times 11.6905\right)$$

Multiplica 2 e 11.6905 para obter 23.381.

$$\frac{1}{20}\left(1+23.381\right)$$

Suma 1 e 23.381 para obter 24.381.

$$\frac{1}{20}\times 24.381$$

Converte o número decimal 24.381 á fracción \frac{24381}{1000}.

$$\frac{1}{20}\times \frac{24381}{1000}$$

Multiplica \frac{1}{20} por \frac{24381}{1000} mediante a multiplicación do numerador polo numerador e do denominador polo denominador.

$$\frac{1\times 24381}{20\times 1000}$$

Fai as multiplicacións na fracción \frac{1\times 24381}{20\times 1000}.

$$\frac{24381}{20000}$$

Factorizar

$$\frac{7 \cdot 43 \cdot 3 ^ {4}}{2 ^ {5} \cdot 5 ^ {4}} = 1\frac{4381}{20000} = 1.21905$$