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Question 12
On January 1, 2004 two new societies S1 and S2 are formed, each n numbers. On the first day of each subsequent month, S1 adds b members while S2 multiples its current numbers by a constant factor r. Both the societies have the same number of members on July 2, 2004. If b = 10.5n, what is the value of r?
Solution
According to given condition we have ,
n+6b =$$nr^6$$ and b=10.5n ,
63n+n = $$nr^6$$
$$r^6 = 64$$
r = 2
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