Solution

36959

Problem / game
First name
SpyderPan
School
Ststephens School Carramar
Country
Age
14

Can you always swap the frogs over without having to move any frogs backwards? Yes, as long as you don't put any of the same colour next to each other.
Can you predict how many moves it will take you? Yes, if you know the pattern.
Can you swap the frogs over when the number of red and blue frogs is not the same? Sure.
Can you predict how many moves it will take you? There is a pattern that allows you to do this.
Can you see any patterns in the sequence of moves that it takes to swap the frogs over? I said yes before
Can you explain why those patterns occur? The number of frogs changes the number of slides and jumps which when added are the total number of moves. The number of slides and jumps increases in an organised pattern.