Posted by **mathemagiacian** on Saturday, August 17, 2013 at 4:06pm.

Starting from the point (0,0), a grasshopper makes a series of leaps on the coordinate plane. The grasshopper's first leap takes her to (3,4). After a move which adds (x,y) to the grasshopper's coordinates, her next move adds either (x,y-1) or (x-1,y) to her coordinates. Thus her second move adds either (3,3) or (2,4) to her position, landing her at (6,7) or (5,8) accordingly.

If the grasshopper's x and y coordinates never decrease, and if she ends at the point (a,a) where a is as large as possible, then what is the value of a?

Give an explanation with the answer. Thanks!!!! :)

- MATH -
**a**, Monday, September 16, 2013 at 7:44pm
14

## Answer this Question

## Related Questions

- Math Geometry - Starting from the point (0,0), a grasshopper makes a series of ...
- physics - A 1.00 g grasshopper and a 0.100 g cricket leap vertically into the ...
- Physics - A 1 g grasshopper and a 0.1 g cricket leap vertically into the air ...
- Science - A certain species of grasshopper can have red stripes, yellow stripes...
- Mte 181 - A Grasshopper can jump 19 times his length. If humans were ...
- Physics - A grasshopper jumps 1.0 m from rest, with an initial velocity at a 47 ...
- english - how is the Grasshopper in "The Ant and the Grasshopper" and the Bat"...
- physics - A grasshopper jumps a horizontal distance of 1m from rest, with an ...
- science can someone please check - Write a 200- to 300-word response explaining ...
- comprehension - the grasshopper fell into a hole that was 3 meters wide and 2 ...