Question 23
Let $u_1,u_2,\ldots,u_{49}$ be an increasing arithmetic progression where the initial term is 25 and the difference between any successive terms is 3. Find the value of $\frac3{\sqrt{u_1}+\sqrt{u_2}}+\frac3{\sqrt{u_2}+\sqrt{u_3}}+\cdots+\frac3{\sqrt{u_{48}}+\sqrt{u_{49}}}$.