a₆ = 250 × (1.2)⁵
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- A science journalist analyzes data showing that a new solar farm generates 1.2 times more energy each year due to tech upgrades. If it produced 250 MWh in the first year, how much will it produce in the 6th year?
- This is a geometric sequence: a = 250, r = 1.2
- aₙ = a × r¹⁵ (since from year 1 to year 6 is 5 years later)
- 1.2² = 1.44, 1.2⁴ = (1.44)² = 2.0736, 1.2⁵ = 2.0736 × 1.2 = 2.48832
- × 2.48832 = 622.08
- #### 622.08
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