One bacterium splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produced the next generation. If the seventh generation number is 4096 million, what is the number in first generation?	Choose one.
A) 1 million
B) 2 million
C) 4 million
D) 8 million
E) None of these
Solution: Let the number of bacteria in the 1st generation be x, then number of bacteria in 2nd, 3rd, 4th . . . . . Generation would be   8(x/2), 8(4x/2), 8(16x/2) . . . . And so on.   As x, 4x, 16x, 64x . . . . . it is in GP with common ratio 4.   Hence, 7th term of GP,   x(4)6 = 4096   Or, x = 1 or 1 million.   1 millionnswer: Option 1 million
<result>A</result>
One bacterium splits into eight bacteria of the next generation. But due to environment, only 50% of one generation can produced the next generation. If the seventh generation number is 4096 million, what is the number in first generation?