Respuesta:
50 000
Explicación paso a paso:
Suma de los "n-impares" números:
[tex]1+3+5+...+(2n-1) = n^2[/tex]
[tex]X_n =5,15,25,...\\X_n =5(1), 5(3), 5(5), ...\\X_n=5[1, 3, 5, ...][/tex]
[tex]X_{100} = 5[1,3,5,...\left,2(100)-1][/tex]
[tex]X_{100} = 5[1,3,5,...\left,199]\\[/tex]
[tex]X_{100} = 5[n^2 ]\\X_{100} = 5[100^2]\\X_{100} = 50 000[/tex]