Respuesta :

Answer:

165

Step-by-step explanation:

The symbol [tex]\sum[/tex]  is used to denote a sum of multiple terms.

The number below [tex]\sum[/tex] is the first term.

The number above [tex]\sum[/tex] is the last term.

Each term can be determined by using the given equation.

[tex]\begin{aligned}\displaystyle \sum_{n=3}^{8}5n & =5(3)+5(4)+5(5)+5(6)+5(7)+5(8)\\ & = 5(3+4+5+6+7+8)\\ & =5(33)\\ & = 165\end{aligned}[/tex]

  • n=[3,8]

So

[tex]\\ \rm\Rrightarrow \sum^8_{n=3}5n[/tex]

[tex]\\ \rm\Rrightarrow 5(3)+5(4)+5(5)+5(6)+5(7)+5(8)[/tex]

[tex]\\ \rm\Rrightarrow 15+20+25+30+35+40[/tex]

[tex]\\ \rm\Rrightarrow 165[/tex]