MathDB
Team Round P14

Source:

October 16, 2021
MOAA 2021team

Problem Statement

Evaluate 1×57+2×57+3×57++100×57.\left\lfloor\frac{1\times 5}{7}\right\rfloor + \left\lfloor\frac{2\times 5}{7}\right\rfloor + \left\lfloor\frac{3\times 5}{7}\right\rfloor+\cdots+\left\lfloor\frac{100\times 5}{7}\right\rfloor.
Proposed by Nathan Xiong