Sum of all the multiples of 3 or 5 (up to 1000)

Mults3or5.scala

import annotation.tailrec

object Mults3or5sum extends App {
  private val limit = 1000
  private def mults(multOf: Int) = {
    @tailrec
    def mults(i: Int, acc: Set[Int]): Set[Int] = {
      val mult = multOf * i
      if (mult >= limit) acc
      else mults(i + 1, acc + mult)
    }
    mults(1, Set.empty)
  }
  println((mults(3) ++ mults(5)).sum)
}