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).