Wood in the forest

The amount of wood in the forest was estimated at 6000 m³. How much wood will be in the forest after 2 years if the annual growth of wood is 2.5% each year and logging 30 m³ each year?

Correct answer:

a =  6243 m³

Step-by-step explanation:

$$\begin{gathered} q=1+2.5/100=\frac{41}{40}=1.025 \\ {a}_0=6000{\text{m}}^3 \\ {a}_1=a_0\cdot q-30=6000\cdot 1.025-30=6120{\text{m}}^3 \\ {a}_2=a_1\cdot q-30=6120\cdot 1.025-30=6243{\text{m}}^3 \\ a=a_2=6243=6243{\text{m}}^3 \end{gathered}$$

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