Respuesta :

[tex]1; 1; 2; 4; 3; 9; 4; ...\\\\1\\1^2=1\\2\\2^2=4\\3\\3^2=9\\4\\4^2=16\\5\\5^2=25\\6\\6^2=36\\\vdot\\\\\\Answer:\boxed{1;\ 1;\ 2;\ 4;\ 3;\ 9;\ 4;\ 16;\ 5;\ 25;\ 6;\ 36;\ 7;\ 49;\ ...}[/tex]

Answer:

The following number is: 16.

Step-by-step explanation:

If we separate the numbers that in order are in the even place of the odd ones, we would have the following: 1.- 1 2 3 4

                                                            2.- 1 4 9

If we finish in 1.- they increase by 1 in 1,

while in 2.- they increase in odd numbers, 1 + 3 = 4, 4 + 5 = 9, 9 + 7 = 16

The following number is: 16.