Bead strings

1
Bead strings

• A string of beads is created by threading 7 red,
  7 blue, 7 red, 7 blue and so on. They are also
  numbered 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7
  etc.
• What colour is the 400th bead?
• What number is on it?

2
Solution
400 14 28 remainder 8 14 28 392 this
will be the last of a set of blue 8 later will be
the first of a set of blue hence blue and number 1