Which list shows fraction that ALWAYS result in a terminating decimal for values of n > 0?
A) 1/11, 1/121, 1/1331 . . . , 1/11n
B) 1/10, 1/100, 1/1000 . . . , 1/10n
C) 1/6, 1/36, 1/126 . . . , 1/6n
D) 1/3, 1/9, 1/27 . . . , 1/3n

29.5977692753

step-by-step explanation:

definitely a. the others have almost all data points on one side of the line.

step-by-step explanation:

ion

step-by-step explanation:

ion ion ion ion ion ion ion ion ion ion ion

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4