Question 15Evaluate the sum $\left\lfloor\dfrac{2^2}3\right\rfloor+\left\lfloor\dfrac{3^2}4\right\rfloor+\left\lfloor\dfrac{4^2}5\right\rfloor+\cdots+\left\lfloor\dfrac{99^2}{100}\right\rfloor$.