The problem specifies arithmetic growth. In arithmetic growth, the rate of growth is constant over time. The formula for arithmetic growth is given by: $$L_t = L_0 + (r \times t)$$ Where $L_t$ is the length at time $t$, $L_0$ is the initial length, $r$ is the growth rate, and $t$ is the time elapsed.
From the question, we have: Initial length ($L_0$) = 20 cm Growth rate ($r$) = 30 cm/day Time ($t$) = 7 days
Substitute the values into the formula: $$L_7 = 20 + (30 \times 7)$$ $$L_7 = 20 + 210$$ $$L_7 = 230 \text{ cm}$$
Final Answer: 230 cm
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