A) 11
B) 10
C) 9
D) 4
E) 7
Correct Answer: A
Solution :
\[\because \] \[5{{\left( -\frac{1}{2} \right)}^{n-1}}=\frac{5}{1024}\] \[\Rightarrow \] \[{{\left( -\frac{1}{2} \right)}^{n-1}}={{\left( -\frac{1}{2} \right)}^{10}}\] \[\Rightarrow \] \[n-1=10\] \[\Rightarrow \] \[n=11\]
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