PROPUESTAS

( P / 100 ) * N = 1 * n + 2 * ( n – 1 ) + 3 * ( n – 2 ) +..... + ( n – 2 ) * 3 + ( n – 1 ) * 2 + n * 1

_{i = n}

= ∑ [ i . [ n – ( i – 1 ) ]

^{i = 1}

= 2n+4(n-1)+6(n-2)+...n/2(n/2+1)

1 * n ! + 2 * ( n – 1 ) ! + 3 * ( n – 2 ) ! +..... + ( n – 2 ) * 3 ! + ( n – 1 ) * 2 ! + n * 1 !

_{i = n}

= ∑ i . { [ n – ( i – 1 ) ] ! }

^{i = 1}

^{i = n}

= ∑ i ! . { [ n – ( i – 1 ) ] }

^{i = 1}

^{-------------------------------------------------------------------------------------------------------------} 

_{i = n !}

∑ [ i . [ n – ( i – 1 ) ]

^{i = 1}

^{---------------------------------------------------------------------------------------------------------------}∫xdx = d(∫xdx)/dx → x²/2+c =d(x²/2+c)/dx = x → x²-2x+2c=0 →

x=1+-sqr(1-2c) → recta vertical

∫dx = d(∫dx)/dx → x+c =d(x+c)/dx = 1 → x=1-c → recta vertical

1 * n ² + 2 * ( n – 1 ) ² + 3 * ( n – 2 ) ² +..... + ( n – 2 ) * 3 ² + ( n – 1 ) * 2 ² + n * 1 ²

_{i = n}

= ∑ { i ² . [ n – ( i – 1 ) ] }

^{i = 1}

_{i = n}

= ∑ { i . [ n – ( i – 1 ) ] } ²

_{i = 1}

1 * n ² + 2 * ( n – 1 ) ² + 3 * ( n – 2 ) ² +..... + ( n – 2 ) * 3 ² + ( n – 1 ) * 2 ² + n * 1 ²

_{i = n}

= ∑ i . [ n – ( i – 1 ) ] ²

_{i = 1}

_{i = n}

= ∑ i . [ n ² + ( i – 1 ) ² – 2 . n . ( i – 1 ) ]

_{i = 1}

_{i = n}

= ∑ i . ( n ² + i ² – 2 . i + 1 – 2 . n . i + 2 . n )

_{i = 1}

_{i = n}

= ∑ ( i . n ² + i ³ – 2 . i ² + i – 2 . n . i ² + 2 . n . i )

_{i = 1}

_{i = n}

= ∑[i³+i²(-2-2n)+i.(1+2n)]

_{i = 1}

_{---------------------------------------------------------------------------------------------------------------}

_{i = n}

= ∑ { i ² . [ n – ( i – 1 ) ] }

^{i = 1}

_{i = n}

= ∑ [ i ² . n – i ² . ( i – 1 ) ] ]

^{i = 1}

_{i = n}

= ∑ ( i ² . n – i ³ + i ² )

^{i = 1}

_{i = n}

= ∑ ( i ² . ( n + 1 ) – i ³ )

^{i = 1}