Question

cac ban oi giai cho mik bai nay zoi

2x+4x+6x+...+100x=50x100

cam on cac ban nhiu lam

a quen de bai la tim x nhe

Answer 1

\(2x+4x+6x+...+100x=50.100\)

\(\left(2+4+6+...+100\right)x=5000\)

\(\left\{\left(100+2\right)\left[\left(100-2\right):2+1\right]:2\right\}x=5000\)

\(\left(102.50:2\right)x=5000\)

\(2550x=5000\)

\(x=5000:2550\)

\(x=\dfrac{100}{51}\)

Answer 2

Số số hạng là (100-2)/2+1=50(số)

Tổng là: (100+2)*50/2=102*50/2=50*51=2550

Theo đề, ta có: 2550x=50*100=5000

=>x=5000/2550=100/51