Line n is a perpendicular bisector of line segment T V. It intersects line segment T V at point R. Line n also contains points Q
and S. Line segment R V is 3 x + 2. Line segment Q V is 4 x + 1. Line segment T S is 9 x minus 4. The length of TR is 17 units. What are the lengths of SV and QT?
There are floor(√400) = 20 squares in the range 1..400, so the 400th term will be at least 420. There are floor(∛420) = 7 cubes in the range 1..400, so the 400th term may be as high as 427. However, there are numbers that are both squares and cubes. Consequently, the 400th term will be 427-2 = 425.