3. CBQ - Finding the pattern of Robot

Students program a robot to move across numbered tiles. The robot follows the rule: it moves \(1\) tile in the first step, \(2\) tiles in the second step, and thereafter, each move equals the sum of the previous two moves. Before programming the robot further, students analyse the movement pattern to predict future moves without listing every step.

 

Based on the above information, answer the following questions.

 

(i) Which move will the robot make immediately after moving 34 tiles?

 

 

(ii) If two consecutive moves are 55 and 89, what is the robot's next move?

 

 

(iii) Which statement is correct?

 

 

(iv) The robot has just completed a move of 233 tiles. If the previous move was 144 tiles, how many did the robot move before reaching 144 tiles?