Use Gauss's approach to find the following sum (do not use formulas):
4+9+14+19+...+59.
The sum of the sequence is
+26367 find the following sum
Use Gauss's approach to find the following sum (do not use formulas):
4+9+14+19+...+59.
The sum of the sequence is ?
\(\tiny{ \begin{array}{rcccccccccccccccccccccccc} && 4&+& 9&+&14&+&19&+&24&+&29&+&34&+&39&+&44&+&49&+&54&+&59 \\ &(reverse)& 59&+&54&+&49&+&44&+&39&+&34&+&29&+&24&+&19&+&14&+& 9&+& 4 \\ \hline &(sum)& 63&+&63&+&63&+&63&+&63&+&63&+&63&+&63&+&63&+&63&+&63&+&63 \\ \end{array} } \)
The sum of the sequence is \(\mathbf{\frac{ 12 * 63}{ 2}=378}\)
