Question

calcular S=0,01+0,04+0,09+...+16

Answer 1

Respuesta:

21,4134

Explicación paso a paso:

Answer 2

Respuesta:

Explicación paso a paso:

0,01+0,04+0,09+...+16

$\frac{1}{100} .1^{2}$$+\frac{1}{100} .2^{2} +\frac{1}{100} .3^{2}$$+...+16$

$\frac{1}{100} (1^{2} +2^{2} +3^{2} +...+ 16.100)$

$\frac{1}{100} (1^{2} +2^{2} +3^{2} +...+ 1600) \\\\1600=40^{2} \\\frac{1}{100} (1^{2} +2^{2} +3^{2} +...+ 40^{2} )$

$1^{2}+2^{2} +3^{2} +...+n^{2} =\frac{n(n+1)(2n+1)}{6}$

$\frac{1}{100} (\frac{40(41)(81)}{6} )\\\\\frac{1}{100} .(22140)\\\\=221,4$

espero que hayan entendido <3