Page 163 - NUMINO Challenge_D1

Answer
Key

Problem solving 3 The number below is the differnce between the

1 The sum of the numbers in Row 8 is 2 times two numbers above it.

more than the sum of the numbers in Row 7, 1
which is 64 2 128. Numbers in Pascal's 11
triangle are completely symmetrical so the 101
numbers in the are the same numbers. 1 1 11
128 (1 7 21) 2 70 70 2 35 1 0 00 1
11001 1
2 The numbers follow the Fibonacci sequence. 1 01 0 1 01
11 1 1111 1
13, 21, 34, 55 1 0 0000 001

Creative Thinking p.108~p.109 4

64

1 Step Drawing Movement 32 32
A BC 16 16
Start A BC
A BC 1 16 32 1616
Step 1 A BC 2 8 16 16 8
(2 disks are moved A BC 3

to Pole B.) 2 1
Step 2 3

(The largest disk is 3 31 8 24 24 8
moved to Pole C.)
3 1 4 4 12 12 12 12 4 4
Step 3 2
(The 2 disks from
Pole B are moved 1 3 4 16 24 16 4
2
to Pole C.)
1 23

1 2
3

1
2
3

7 moves

2 1 3 7 15 31 63 127

1 2 1 3 2 1 7 2 1 15 2 1 31 2 1 63 2 1

2 is multiplied by each number, and 1 is added
from the previous number. Therefore, the
minimum number of moves needed for 7 disks is
127.

NUMINO Challenge D1