Question 7
On the computer screen there are initially two $1$ written. The *insert* program causes the sum of those numbers to be inserted between each pair of numbers by pressing the *Enter* key.
In the first step, a number is inserted and we obtain $1$-$2$-$1$; in the second step two numbers are inserted and we have $1$-$3$-$2$-$3$-$1$; In the third, four numbers are inserted and you have $1$-$4$-$3$-$5$-$2$-$5$-$3$-$4$-$1$; etc Find the sum of all the numbers that appear on the screen at the end of step number $25$.
In the first step, a number is inserted and we obtain $1$-$2$-$1$; in the second step two numbers are inserted and we have $1$-$3$-$2$-$3$-$1$; In the third, four numbers are inserted and you have $1$-$4$-$3$-$5$-$2$-$5$-$3$-$4$-$1$; etc Find the sum of all the numbers that appear on the screen at the end of step number $25$.