Question

L= 0,2 + 0,3 + 0,4... + 0,8

Answer 1

Respuesta:

           $3.5$

Explicación paso a paso:

$L = 0.2+0.3+0.4+ ... + 0.8$

$x_{1} = 0.2$

$x_{2} = 0.3$

$x_{n} =0.8$

$Diferencia: d = x_{2} -x_{1} = 0.3 -0.2= 0.1$

$x_{n} = x_{1} + (n-1)*d$

$0.8 = 0.2 + ( n-1 ) * 0.1$

$0.8 -0.2 = 0.1n-0.1$

$0.6 + 0.1 = 0.1n$

$0.1 n = 0.7$

$n = \frac{0.7}{0.1} = 7$

$L = \frac{n}{2} ( x_{1} +x_{n} ) = \frac{7}{2} (0.2+0.8) = 3.5 (1)$

$L = 3.5$