A) 1.05
B) 0.95238
C) 0.95239
D) 10.5
Correct Answer: B
Solution :
Let \[S=1-\frac{1}{20}+\frac{1}{{{20}^{2}}}-\frac{1}{{{20}^{3}}}+...\] It is geometric series to infinity with first term, a = 1 and common ratio \[r=-\frac{1}{20}\] \[\therefore \] \[{{S}_{\infty }}=\frac{a}{1-r}=\frac{1}{1-\left( -\frac{1}{20} \right)}=\frac{1}{1+\frac{1}{20}}=\frac{20}{21}\]\[=0.9523809\] \[\therefore \] The value correct of 5 places of decimal = 035238You need to login to perform this action.
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