Question

tính E= 1+2-3-4+5+6-7 ....+97+98-99-100

Answer 1

\(E=1+2-3-4+5+6-7-....+97+98-99\)

\(E=\left(1+2-3-4\right)+\left(5+6-7-8\right)+..+\left(97+98-99-100\right)\)( có \(\frac{100}{2}=25\)nhóm)

\(E=-4+\left(-4\right)+....+\left(-4\right)\)( có \(25\)số )

\(E=\left(-4\right).25=-100\)

Answer 2

\(E=1+2-3-4+.............+98-99-100\)

\(E=1+\left(2-3-4+5\right)+\left(6-7-8+9\right)+...+\left(98-99-100\right)\)

\(E=1+0+0+...+\left(-101\right)\)

\(E=-100\)