Ifyoumake a graphofthem, thisis a discreetsequence.

Theyseparatenumbers.

And I amaswhatstartedzerozero's termzero.

Theonetermisonethetooth, Missfour.

Thethirdtermisnineandsoon.

Sowhatwegetissomethingthatlookslikethatifwedraw a continuouscurvethroughit, Ifweplotted 1000 points, thedotswouldaddmergetogetherandwegetsomethingthatlookslikethatThisis a parabolasingledotsthatitlookslike a continuouscurveParabola.

Sohere, thecommonfactorthis 48 dividedbyfouristooso a event.

Theruleisit's eithertheprevioustermplus n plusone.

Ifthegreatestcommondivisorof a of N minusoneand N isequaltoeone, iftheywererelativelyprimeorit's equalto a of n minusoneover G, C, D of n and A of n minusone.

Ifthis G C D isbiggerthanonesothatLetmeletmeseeif I'veunderstoodit.

Sothere's a newcommondivisortherebetweenfiveandtoshare.