A) 1.05
B) 0.95238
C) 0.95239
D) 10.5
Correct Answer: B
Solution :
Let \[x=1-\frac{1}{20}+\frac{1}{{{(20)}^{2}}}+\frac{1}{{{(20)}^{3}}}+...\] \[\Rightarrow \] \[x=1-\frac{1}{20}\left( 1-\frac{1}{20}+\frac{1}{{{(20)}^{2}}}+... \right)\] \[\Rightarrow \] \[x=1-\frac{x}{20}\] \[\Rightarrow \] \[x+\frac{x}{20}=1\] \[\Rightarrow \] \[\frac{21x}{20}=1\] \[\Rightarrow \] \[x=\frac{20}{21}=0.95238\]You need to login to perform this action.
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