Question

999*1/7+ 999*2/7+999*3/7+999*4/7 +999*5/7 + 999*6/7 ?

999*x/7 is a single term in each case.

Answer 1

$$\begin{gathered} \mathrm{If}\mathrm{your}\mathrm{question}\mathrm{is}, \\ 999\times \frac{1}{7}+999\times \frac{2}{7}+999\times \frac{3}{7}+999\times \frac{4}{7}+999\times \frac{5}{7}+999\times \frac{6}{7} \\ =999\left[\frac{1}{7}+\frac{2}{7}+\frac{3}{7}+\frac{4}{7}+\frac{5}{7}+\frac{6}{7}\right] \\ =999\left(\frac{1+2+3+4+5+6}{7}\right) \\ =2997 \end{gathered}$$