Directions:(1-10) Find the next term in the series.

1. 13, 41, 167, 839, 5039, ?

Ans:1
The pattern is as follows:

(13 x 3) + 2 = 41

(41 x 4) + 3 = 167

(167 x 5) + 4 = 839

(839 x 6) + 5 = 5039

(5039 x 7) + 6 = 35279

 

2. 164, 202, 244, 290, 340, ?

Ans:5
The pattern is as follows:

82 + 102 = 164

92 + 112 = 202

102 + 122 = 244

112 + 132 = 290

122 + 142 = 340

132 + 152 = 394

 

3. 27, 25, 46, 130, 504, ?

Ans: 2
The pattern is as follows:

(27 x 1) – 2 = 25

(25 x 2) – 4 = 46

(46 x 3) – 8 = 130

(130 x 4) – 16 = 504

(504 x 5) – 32 = 2488

 

4. 793, 982, 1126, 1138, 1162, ?

Ans:4
The next term is obtained by adding the number to the product of its digits.

793 + 189 = 982

982 + 144 = 1126

1126 + 12 = 1138

1138 + 24 = 1162

1162 + 12 = 1174

 

5. 9, 11, 16, 27, 44, ?

Ans:4
The pattern adds alternate prime numbers to the previous term:

9 + 2 = 11

11 + 5 = 16

16 + 11 = 27

27 + 17 = 44

44 + 23 = 67

 

6. 13, 22, 33, 46, 61, ?

Ans:4
The pattern is as follows:

2 x 5 + 3 = 13

3 x 6 + 4 = 22

4 x 7 + 5 = 33

5 x 8 + 6 = 46

6 x 9 + 7 = 61

7 x 10 + 8 = 78

 

7. 18, 27, 45, 63, 99, ?

Ans:3
The pattern 9 being multipled by consecutive prime numbers:

9 x 2 = 18

9 x 3 = 27

9 x 5 = 45

9 x 7 = 63

9 x 11 = 99

9 x 13 = 117

 

8. 265, 233, 203, 175, 149, ?

Ans:4
The pattern is as follows:

162 + 9 = 265

152 + 8 = 233

142 + 7 = 203

132 + 6 = 175

122 + 5 = 149

112 + 4 = 125

 

9. 4, 25, 67, 130, 214, ?

Ans:2
The pattern is as follows:

4 + 21 x 1 = 25

25 + 21 x 2 = 67

67 + 21 x 3 = 130

130 + 21 x 4 = 214

214 + 21 x 5 = 319

 

10. 511, 341, 213, 121, 59, ?

Ans:2
The pattern is as follows:

83 – 1 = 511

73 – 2 = 341

63 – 3 = 213

53 – 4 = 121

43 – 5 = 59

33 – 6 = 21

 

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