1/2, 1/4, ....
In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities?	Choose the most appropriate option:
A) 0.1 < x < 1
B) 0.01 < x < 0.1
C) 0.001 < x < 0.01
D) 0.0001 < x < 0.001
E) 0.00001 < x < 0.0001
In the Sequence notice that the sequence is just the 1/(2^n) ...   so for 1st term=1/2^1=1/2   2nd term=1/(2^2)1/4, 3rd term=1/(2^3)=1/8 and so on...   Thus the 10th term will be 1/(2^10)=1/1024   Roughly, 1/1024 can be   1/1000= 
<gadget id="calculator">  1/1000</gadget>
<output>1/1_000 = around 0.001</output>
0.001 but since denominator is a bit more than 1000 therefore the actual value will be a bit less than 0.001.   thus the ans will lie btw. 0.1 and 1.(0.1 &lt; x &lt; 1)
<result>A</result>
1/2, 1/4, ....
In the sequence above each term after after the first one-half the previous term. If x is the tenth term of the sequence, then x satisfies which of the following inequalities?