Love For MathCreative Math Education

DIY Challenge 4: From 9 disks to 10

Imagine that you found a way for the solve the problem for 9 disks in 511 moves.

How many moves would be need for 10 disks? Explain your logic.

What students worked out6

  • Student 2

    1-1
    2-3
    3-7
    4-15
    5-31
    6-63
    7-127
    8-255
    9-511
    10-1023
    11-2047
    12-4095
    sir instead of the pattern we saw I found another interesting pattern

    • Student 2

      I will share in class as it is very long to type

  • Student 3

    SAME WAY I EXPLAINED DIY 3

    COMPLETE EARLIER NUMBERED DISK’S STEPS
    INSERT LARGER DISK
    AGAIN REPEAT SAME NO OF STEPS FOR EARLIER NUMBERED DISCS

    • Student 3

      511+1+511=1023 STEPS REQUIRED TO TRANSFER 10 DISC TOWER

  • Student 4

    same logic as in 4 disks:
    do moves for nine disks and finish in peg b
    move tenth disk to peg c
    do moves for nine disks again and finish in peg c

    so 511+1+511=1023 moves

  • Student 10

    We will need 1023 moves to stack 10 disks. I will explain the reason in the class as I can’t type it out.