Question

Tamiko makes a necklace by stringing beads with the following colors: red, yellow, blue, red, yellow, blue,... If she continues in this way, what will be the color of the 50th bead?

Answer 1

Answer:

YELLOW

Explanation:

1 red

11 Yellow

21 blue

31 Red

41 yellow

2 yellow

12 Blue

22 red

32 Yellow

42 blue

3 blue

13 Red

23 yellow

33 Blue

43 red

4 red

14 Yellow

24 blue

34 Red

44 yellow

5 yellow

15 Blue

25 red

35 Yellow

45 blue

6 blue

16 Red

26 yellow

36 Blue

46 red

7 red

17 Yellow

27 blue

37 Red

47 yellow

8 yellow

18 Blue

28 red

38 Yellow

48 blue

9 blue

19 Red

29 yellow

39 Blue

49 red

10 red

20 Yellow

30 blue

40 Red

50 yellow

Answer 2

$50=3\cdot16+2$

So, it will be the second color which is yellow.