Question

ayuda
sucesion de la funcion

Answer 1

Respuesta:

50

Explicación paso a paso:

*Se sabe:

$\displaystyle\sum_{i=1}^n(a_i+b_i)=\displaystyle\sum_{i=1}^na_i+\displaystyle\sum_{i=1}^nb_i$

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}{2}$

c : constante

$\displaystyle\sum_{i=1}^nc=nc$

$\displaystyle\sum_{i=1}^nca_i=c\displaystyle\sum_{i=1}^na_i$

*Resolviendo:

Problema 1

$=\displaystyle\sum_{k=1}^5(3k+1)$

$=\displaystyle\sum_{k=1}^53k+\displaystyle\sum_{k=1}^51$

$=3\displaystyle\sum_{k=1}^5k+\displaystyle\sum_{k=1}^51$

$=3(\frac{5(5+1)}{2})+5$

$=3(15)+5$

$=50$

Problema 2

$=\displaystyle\sum_{k=1}^510$

$=5x10$

$=50$