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?

Correct result:

x =  320000000

Solution:

$$\begin{gathered} a_0=100 \\ {a}_1=2000 \\ q=a_1\mathrm{/}{a}_0=2000\mathrm{/}100=20 \\ x=a_0\cdot q^5=100\cdot 20^5=320000000=3.200\cdot 10^8 \end{gathered}$$

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