Tentukan nilai x (2x+1)+(2x+2)+(2x+3)+….+(2x+50)=4575

(2x + 1) + (2x + 2) + (2x + 3) + … + (2x + 50) = 4575
n = 50,
maka
(2x + 1) + (2x + 2) + (2x + 3) + … + (2x + 50) = 4575
⇒ (50)(2x) + (1 + 2 + 3 + 4 + … + 50) = 4575
⇒ 100x + (50/2)(1 + 50) = 4575
⇒ 100x + (25)(51) = 4575
⇒ 100x + 1275 = 4575
⇒ 100x = 3.300
⇒ x = 33

Terimakasih semoga membantu

(2x + 1) + (2x + 2) + (2x + 3) + … + (2x + 50) = 4575
2x . 50 + 50/2(1 + 50) = 4575
100x + 25(51) = 4575
100x + 1275 = 4575
100x = 4575 – 1275
100x = 3300
x = 3300/100 = 33

maka nilai x = 33