# Solutions

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16 × 0.5 + 0.5 = 4.5

8.5 × 1+ 1 = 9.5

9.5 × 2 + 2 = 21

21 × 4 + 4 = 84

• 8 + 8 = 712

Explanation:

28 + 22 = 28 + 4 = 32

32 – 32 = 32 – 9 = 23

23 + 42 = 23 + 16 = 39

39 – 52 = 39 – 25 = 14

14 + 62 = 14 + 36 = 50

• – 72 = 50 – 49 = 1

Explanation:

4

9 = 4×2+1

17 = 9×2–1

35 = 17×2+1

69 = 35×2–1

139 = 69×2+1

• 139×2–1

Explanation:

5

5 × 1+12 =5+1=6

6 × 2 + 22 = 12 + 4 = 16

16 × 3 + 32 = 48 + 9 = 57

57 × 4 + 42 = 228 + 16= 244

• 5 + 52 = 1245

Explanation:

1+12+13=3

2+22+23=14

3+32+33= 39

4+42+43= 84

5+52+53= 155

6+62+63= 258

Explanation:

8*1+1 = 9

9*1.5+1.5 = 15

15*2+2 = 32

32*2.5+2.5 = 82.5

82.5*3+3 = 250.5

Explanation:

4*1+2 = 6

6*2+4 = 16

16*3+8 = 56

56*4+16 = 240

240*5+32 = 1232

Explanation:

1+13 = 2

2+23 = 10

10+33 = 37

37+43 = 101

101+53 = 226

Explanation:

5*2+1 = 11

11*2-2 = 20

20*2+3 = 43

43*2-4 = 82

82*2+5 = 169

Explanation:

4*1+1 = 5

5*2-2 = 8

8*3+4 = 28

28*4-8 = 104

104*5+16 = 536

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