Question

[Công chúa Ichigo]

x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ......... + ( x + 100 ) = 5353

Answer 1

[Đức Phạm]

\(x+\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+....+\left(x+100\right)=5353\)

\(x+\left(x+x+x+...+x\right)+\left(1+2+3+...+100\right)=5353\)

\(101x+\frac{\left(1+100\right)\times100}{2}=5353\)

\(101x+5050=5353\)

\(101x=5353-5050\)

\(101x=303\)

\(\Rightarrow x=3\)

Answer 2

[Trịnh Thành Công]

x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ......... + ( x + 100 ) = 535

101 x + ( 1 + 2 + ... + 100 ) = 535 

101x + 5050 = 535

101x = -4515

\(\Rightarrow x=-\frac{4545}{101}\)