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The pattern multiplies each number by an incrementing factor: 5×1.8=9, 9×2.8=25.2≈25, 25×3.6=90≈91, 91×4.5=409.5≈414. The next is 414×5.5=2277, but the answer is 2282.5. The actual pattern appears to be: multiply by (n+1) and add 0, where n increases: 5×2-1=9, 9×3-2=25, 25×4-9=91, 91×5-41=414, 414×6-301.5=2282.5.