An enterprising businessman earns an income of Rs 1 on the first day of his business. On every subsequent day, he earns an income which is just double of that made on the previous day. On the 10th day of business, his income is
Solution
For Day 1 his income was = Rs 1
For Day 2 his income was = Rs 1*2 = Rs. 2
For Day 3 his income was = Rs 2*2 = Rs 4 = Rs 1 * $$2^2$$
Similarly for nth day his income = Rs 1* $$2^{n-1}$$
Hence for 10th day his overall income is Rs 1*$$2^{10-1}$$ = $$2^9$$
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