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U₁ = 2(1)² - 3(1) + 5 = 2-3+5 = 4
U₂ = 2(2)² - 3(2) + 5 = 8-6+5 = 7
U₃ = 2(3)² - 3(3) + 5 = 18-9+5 = 14
U₄ = 2(4)² - 3(4) + 5 = 32-12+5 = 25
U₅ = 2(5)² - 3(5) + 5 = 50-15+5 = 40
Dan,
U₁₀ = 2(10)² - 3(10) + 5 = 200 - 30 + 5 = 175
Dan,
Un = 40
2n² - 3n + 5 = 40
2n² - 3n - 35 = 0
(2n+7)(n-5) = 0
Dengan suku yang positif, diambil:
n = 5
Sehingga,
40 adalah suku ke-5.