Five harvests

In the seed company, they know that, out of 100 grains of a new variety, they get an average of 2000 grains after harvest. Approximately how many grains do they get out of 100 grains after five harvests?

Result

x =  320000000

Solution:

a0=100 a1=2000  q=a1/a0=2000/100=20  x=a0⋅ q5=100⋅ 205=320000000=3.200000⋅108a_{0}=100 \ \\ a_{1}=2000 \ \\ \ \\ q=a_{1}/a_{0}=2000/100=20 \ \\ \ \\ x=a_{0} \cdot \ q^5=100 \cdot \ 20^5=320000000=3.200000\cdot 10^{ 8 }

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