A) \[\text{Rs}.\,{{2}^{9}}\]
B) \[\text{Rs}.\,{{2}^{10}}\]
C) \[\text{Rs}.\,10\]
D) \[\text{Rs}.\,{{10}^{2}}\]
Correct Answer: A
Solution :
Income on the first day \[=Rs.\,1\] Income on the 2nd day \[=\operatorname{Rs}.(1\times 2)=Rs.\,{{2}^{1}}.\] Income on the 3rd day \[=\operatorname{Rs}.({{2}^{1}}\times 2)=Rs.\,{{2}^{2}}\] and so on. Thus, Income on the nth day \[=Rs.\,{{2}^{n-1}}.\] \[\therefore \] Income on the 10th day \[=Rs.\,{{2}^{9}}.\]
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