Tentukan nilai x,jika (2×+1)+(2×+2)+(2×+3)+…+(2×+50)=4275

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Tentukan nilai x,jika (2×+1)+(2×+2)+(2×+3)+…+(2×+50)=4275

Jawaban Terkonfirmasi

(2x + 1) + (2x + 2) + (2x + 3) + … + (2x + 50) = 4275
⇒ (50)(2x) + (1 + 2 + 3 + … + 49 + 50) = 4275
⇒ 100x + (50/2)(50 + 1) = 4275
⇒ 100x + (25)(51) = 4275
⇒ 100x + 1275 = 4275
⇒ 100x = 3000
⇒ x = 30

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