Answered

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An enterprising businessman earns an income of Re. 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. One
the 10th day of business, his income
is
a) Rs. 28
b) Rs. 29
c)
Rs. 210
d) Rs. 1012
​

Sagot :

Sqdancefanidn

Answer:

  b) Rs. 2⁹

Step-by-step explanation:

You want to know the income on day 10 if it is Rs. 1 on day 1 and doubles every day.

Geometric sequence

The sequence of income amounts is ...

  1, 2, 4, 8, ....

This sequence has first term 1 and common ratio 2. The general term is given by ...

  [tex]a_n=a_1\cdot r^{n-1}\\\\a_{10}=1\cdot 2^{10-1}=2^9 \qquad\text{for $a_1$=1 and $r$=2}[/tex]

On the tenth day of business his income is Rs. 2⁹, choice B.

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