9 * 2 + 1 = 19

19 * 2 + 2 = 40

40 * 2 + 3 = 83

83 * 2 + 4 = 170

170 * 2 + 5 = 345

13(+3X2=), 32(+3X2=), 70(+3X2=), 146(+3X2=), 298

(Please note – 1^st 3 is added and then the sum is multiplied by 2.)

2(X17=), 34(X17=), 578(X17=), 9826(X17=), 167042

6 * 2 + 4 = 16

16 * 3 – 3 = 45

45 * 4 + 4 = 184

184 * 5 – 3 = 917

917 * 6 + 4 = 5506

The pattern of the series :

14 x 2 – 1 = 27

27 x 2 – 2 = 52

52 x 2 – 3 = 101

101 x 2 – 4 = 198

198 x 2 – 5 = 391

The pattern of the series is :

6 + 5 = 11

11 + 10 = 21

21 + 15 = 36

36 + 20 = 56

56 + 25 = 81(next number)

9 x 9 x 2 = 162

.’. 8 x 8 x 2 = 128

The pattern of the series :

14 x 2 – 1 = 27

27 x 2 – 2 = 52

52 x 2 – 3 = 101

101 x 2 – 4 = 198

198 x 2 – 5 = 391

The pattern of the numbers :

4 x 4 + 4 = 20

.’. 8 x 8 + 8 = 72

24 X 1 = 24

24 X 1.5 = 36

36 X 2 =72

72 X 2.5 = 180

180 X 3 = 540

36 + 4 =40

40+ 8 = 48

48 + 16 = 64

64 + 32 = 96

96 + 64 = 160

(Addition of sequence of prime numbers)

9 + 2 = 11

11 + 3 = 14

14 + 5 = 19

19 + 7 = 26

26 + 11 = 37

37 + 13 = 50

8 * 2 + 2 = 18
18 * 3 – 3 = 51
51 * 4 + 4  = 208
208 * 5 – 5  = 1035

——>>> 1035 * 6 + 6 = 6216

Series is written in descending order with a difference of 9, 8, 7, 6 and 5, respectively. Hence, the missing number will be 104.

4………16……….26………..34……….40………
…….+12…..+10…..…..+8…..……+6….……+4
Answer: 40 + 4 = 44