Question 9
Given
n=100
The triangular numbers are given by the following explicit formulas:
n=100
[tex]\begin{gathered} T_n=\frac{n(n+1)}{2} \\ \\ T_{100}=\frac{100(100+1)}{2} \\ \\ T_{100}=\frac{100(101)}{2} \\ \\ T_{100}=\frac{100(101)}{2} \\ \\ T_{100}=\frac{10100}{2} \\ \\ T_{100}=5050 \end{gathered}[/tex]
