Answer:
Explanation:
What are terminating decimals.
A decimal number that has digits that do not go on forever.
0.001(it has 3 decimal digits)
0.25 (it has two decimal digits)
3.0375 (it has four decimal digits)
In contrast a Recurring Decimal has digits that go on forever
Example: 1/3 = 0.333... (the 3 repeats forever) is a Recurring Decimal, not a Terminating Decimal
As we can see
a) 1/11, 1/121, 1/1331 will result in recurring decimals
as 1/11 =0.09090909090- this is a recurring decimal where 90 is repeats many times
b)Whereas 1/10=0.1
1/1000=0.001
1/10000=0.0001
for any value of n this sequence will result in a terminating decimal
So this should be the answer
c) 1/6 , 1/36, 1/216
1/6= 0.1666666
1/36 =0.027777777
this will result in a recurring decimals with any value of n
d) 1/3 , 1/9 , 1/27
1/3=0.3333333
1/9= 0.1111111
1/27 =0.037037
every fraction result in a recurring decimal