Question

(x+1)+(x+2)+(x+3)+...+(x+100)=5750

Answer 1

Ta có: \(\left(x+1\right)+\left(x+2\right)+...+\left(x+100\right)=5750\)

\(\Leftrightarrow100x+5050=5750\)

\(\Leftrightarrow100x=700\)

hay x=7

Answer 2

x=7

Answer 3

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Answer 4

\(\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+100\right)=5750\Leftrightarrow\left(x+x+x+...+x\right)+\left(1+2+3+...+100\right)=5750\)(100 số x)\(\Leftrightarrow100x+\dfrac{\left(100+1\right).\left(\dfrac{100-1}{1}+1\right)}{2}=100x+5050=5750\)

\(\Leftrightarrow100x=700\Leftrightarrow x=7\)

Answer 5

x=7