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

B) 1/10, 1/100, 1/1000 . . . , 1/10n

Step-by-step explanation:

Comparing all the options given:

A) 1/11, 1/121, 1/1331 . . . , 1/11n

Finding the decimal of the first term,

1/11 = 0.0909090 (never ending decimal place)

B) 1/10, 1/100, 1/1000 . . . , 1/10n

Finding the decimal of the first term,

1/10 = 0.01 (ended decimal place)

C) 1/6, 1/36, 1/126 . . . , 1/6n

Finding the decimal of the first term,

1/6 = 0.16666667 (never ending decimal place)

D) 1/3, 1/9, 1/27 . . . , 1/3n

Finding the decimal of the first term,

1/3 = 0.33333333 (never ending decimal place)

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.