#### 510

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• = (70 + 134) + (86 + 118) + 102 = 204 + 204 + 102 = 510
• Alternatively: arithmetic series with first term 70, last term 134, n = 5
• Sum = $ \frac{5}{2}(70 + 134) = \frac{5}{2}(204) = 5 \times 102 = 510 $
• A plant biologist modifies a drought-resistant crop, increasing yield by 20% in the first season. Each subsequent season, the yield increases by 90% of the previous increase due to optimized gene expression. If the original yield was 500 kg per hectare, what is the total yield after 5 seasons?
• Original yield: 500 kg/ha
• Season 1: $ 500 \times 1.20 = 600 $, increase = 100 → but better: absolute yields form a recurrence.

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