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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?

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? Correct Answer 1 million

Let the number of bacteria in the 1st generation be x, then number of bacteria in 2nd, 3rd, 4th . . . . . Generation would be$$8\left( {\frac{{\text{x}}}{2}} \right),\,8\left( {\frac{{4{\text{x}}}}{2}} \right),\,8\left( {\frac{{16{\text{x}}}}{2}} \right)$$     . . . . And so on.As x, 4x, 16x, 64x . . . . . it is in GP with common ratio 4Hence, 7th term of GP, x(4)6 = 4096or, x = 1 or 1 million.

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S1:Biological evolution has not fitted man to any specific environment.
P :It is by no means a biological evolution, but it is a cultural one.
Q :His imagination, his reason, his emotional subtlety and toughness, makes it possible for him not to accept the environment but to change.
R :And that series of inventions by which man from age by age has reshaped his environment is a different kind of evolution.
S :Among the multitude of animals which scamper, burrow swim around us he is in the only one who is not locked in to his environment.
S6:That brilliant sequence of cultural peaks can most appropriately be termed the ascent of man.

The Proper sequence should be:
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