Answer:
37674
Step-by-step explanation:
Note that the numbers form an arithmetic sequence
[tex]100\div13=7...9\\1000\div13=76...12\\\therefore The\ sum \\=13\times8+13\times 9+13\times 10+...+13\times 76\\=13\times (8+9+10+...+76)\\=13\times \frac{(8+76)\times(76-7)}{2}\\=37674[/tex]
