Problema Solution

A sequence of coloured beads begins: Red- Red- Blue- Red- Blue- Red and continues in this six-bead pattern throughout the strand.

How many Red beads are between the 5th Blue bead and the 200 the Blue bead?

Answer provided by our tutors

A sequence of colored beads begins: Red- Red- Blue- Red- Blue- Red or shortly RRBRBR and continues in this six-bead pattern throughout the strand.


between the 5th Blue bead and the 200 the Blue bead there are 200 - 5 - 1 = 194 beads


the 5th bead i blue

the 6th bead is red


starting from the 7th bead the pattern RRBRBR repeats 192/6 = 32 times


192 + 6 = 198


the 199th bead is Red


the pattern RRBRBR has 4 read bead thus in 32 patterns there are 32*4 = 128 red beads


128 + 1 (the 6th bead) + 1(the 199th bead) = 130 red beads


there are 130 red beads between the 5th Blue bead and the 200 the Blue bead (not including the 200th red bead).