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Solution :-

Explanation:

1*1+2 = 3

3*2+4 = 10

10*3+8 = 38

38*4+16 = 168

168*5+32 = 872

1+13 = 2

2+23 = 10

10+33 = 37

37+43 = 101

101+53 = 226

Explanation:

5 x 0.5 + 0.5 = 3

3 x 1+ 1 = 4

4 x 1.5 + 1.5 = 7.5

7.5 x 2 + 2 = 17

17 x 2.5 + 2.5 = 45

Explanation:

9+11 = 20

11+20= 31

31+51= 82

82+51= 133

5 + (12) = 5 + 1 = 6

6 + (22) = 6 + 4 = 10

10 + (32) = 10 + 9 = 19

19 + (42) = 19 + 16 = 35

35 + (52) = 35 + 25 = 60

60 + (62) = 60 + 36 = 96

Explanation:

24 + 22 = 24 + 4 = 28

28 – 32 = 28 – 9 = 19

19 + 42 = 19 + 16 = 35

35 – 52 = 35 – 25 = 10

10 + 62 = 10 + 36 = 46

Explanation

2, 5, 9, 19, 37, …..

The pattern is: every number is arrived at

previous number multiplied by 2 and then alternate addition and subtraction by 1 i.e.

2

5=2×2+1

9=5×2-1

19=9×2+1

37=19×2-1

the next term 37×2+1 = 75

Explanation:

9 = 4×2+1

17 = 9×2–1

35 = 17×2+1

69 = 35×2–1

139 = 69×2+1

277 = 139×2–1