MathDB
Floor Sum

Source:

January 9, 2009
floor function

Problem Statement

The symbolism x \lfloor x\rfloor denotes the largest integer not exceeding x x. For example. \lfloor3\rfloor\equal{}3, and \lfloor 9/2\rfloor\equal{}4. Compute \lfloor\sqrt1\rfloor\plus{}\lfloor\sqrt2\rfloor\plus{}\lfloor\sqrt3\rfloor\plus{}\cdots\plus{}\lfloor\sqrt{16}\rfloor. <spanclass=latexbold>(A)</span> 35<spanclass=latexbold>(B)</span> 38<spanclass=latexbold>(C)</span> 40<spanclass=latexbold>(D)</span> 42<spanclass=latexbold>(E)</span> 136 <span class='latex-bold'>(A)</span>\ 35 \qquad <span class='latex-bold'>(B)</span>\ 38 \qquad <span class='latex-bold'>(C)</span>\ 40 \qquad <span class='latex-bold'>(D)</span>\ 42 \qquad <span class='latex-bold'>(E)</span>\ 136