Answer:
[tex]5565[/tex]
Step-by-step explanation:
[tex]1+2+3+4...+113+114=\frac{114*115}{2} =6555[/tex]
[tex]1+2+3+4 ... +43+44=\frac{44*45}{2} =990[/tex]
Thus, [tex]45+46+47+48...+113+114=[/tex] [tex]6555-990=5565[/tex]