/sci/ - Science & Math

[Inane Trolling Garbage !Pyd2/R7DNA No.4456300]

For each positive integer <span class="math">n[/spoiler], there is a circle around the origin with radius <span class="math">n[/spoiler]. Rainbow Dash starts off somewhere on the plane, but not on a circle. She takes off in some direction in a straight path. She moves <span class="math">\sqrt{5}/5[/spoiler] units before crossing a circle, then <span class="math">\sqrt{5}[/spoiler] units, then <span class="math">3\sqrt{5}/5[/spoiler] units. What distance will she travel before she crosses another circle?

[theta !vacuaB.oEw No.4456315]

did you just now make this up?

[theta !vacuaB.oEw No.4456359]

>>4456315
anyhow, it's a pretty interesting problem. i think i have a reasonable solution, but i'll see if someone else can solve it before i post it.