Given is the function f\equal{} \lfloor x^2 \rfloor \plus{} \{ x \} for all positive reals x. ( ⌊x⌋ denotes the largest integer less than or equal x and \{ x \} \equal{} x \minus{} \lfloor x \rfloor.)
Show that there exists an arithmetic sequence of different positive rational numbers, which all have the denominator 3, if they are a reduced fraction, and don’t lie in the range of the function f. functionfloor functionarithmetic sequencealgebra unsolvedalgebra