Question
do the following moves in a coordinate system: start at the origin facing in the positive y direction and move 1 unit. For each subsequent move, it is to turn 90 degrees clockwise and go forward 1 unit farther than it went in the previous move. What is the sum of the coordinates of the robot's position after it moved 14 units in one direction?
Answers
Reiny
take some graph paper and follow the moves:
make a list of
move# -- ordered pair --- sum of coordinates
until you see a pattern
1 -- (0,1) -- 1 ...... up 1 -- add 1 to y
2 -- (2,1) -- 3 ...... right 2 -- add 2 to x
3 -- (2,-3) -- -1 ... down 4 -- add -4 to y
4 -- (-6,-3) -- -9 ... left 8 -- add -8 to x
5 -- (-6,13) -- 7 ... up 16 -- add 16 to y
6 -- (26,13) -- 39 ..right 32 -- add 32 to x
...
..
what do you think?
make a list of
move# -- ordered pair --- sum of coordinates
until you see a pattern
1 -- (0,1) -- 1 ...... up 1 -- add 1 to y
2 -- (2,1) -- 3 ...... right 2 -- add 2 to x
3 -- (2,-3) -- -1 ... down 4 -- add -4 to y
4 -- (-6,-3) -- -9 ... left 8 -- add -8 to x
5 -- (-6,13) -- 7 ... up 16 -- add 16 to y
6 -- (26,13) -- 39 ..right 32 -- add 32 to x
...
..
what do you think?