Directions:(1-5)  Find the next term in the series.

1.  3252, 2963, 2707, 2482, 2286, ?

Ans: 4
The pattern is as follows:

3252 – 172 = 2963

2963 – 162 = 2707

2707 – 152 = 2482

2482 – 142 = 2286

2286 – 132 = 2117

 

2. 3, 6, 24, 144, 1152, ?

Ans: 3
The pattern is as follows:

3 x 2 = 6

6 x 4 = 24

24 x 6 = 144

144 x 8 = 1152

1152 x 10 = 11520

 

3. 5, 17, 37, 67, 109, ?

Ans: 2
The pattern is as follows:

5 + (3 x 4) = 17

17 + (4 x 5) = 37

37 + (5 x 6) = 67

67 + (6 x 7) = 109

109 + (7 x 8) = 165

 

4. 53, 53, 106, 159, 265, 424, ?

Ans: 2
The pattern is as follows:

53 + 53 = 106

53 + 106 = 159

106 + 159 = 265

159 + 265 = 424

265 + 424 = 689

 

5. 7920, 1320, 264, 66, 22, ?

Ans: 4
The pattern is as follows:

7920 ÷ 6 = 1320

1320 ÷ 5 = 264

264 ÷ 4 = 66

66 ÷ 3 = 22

22 ÷ 2 = 11

 

Directions:(6-10) Find the next term in the series.

6. 3, 16, 42, 81, 133, ?

Ans: 2
The pattern is as follows:

3 + 13 x 1 = 16

16 + 13 x 2 = 42

42 + 13 x 3 = 81

81 + 13 x 4 = 133

133 + 13 x 5 = 198

 

7. 38, 51, 66, 83, 102, ?

Ans: 3
The pattern is as follows:

4 x 7 + 10 = 38

5 x 8 + 11 = 51

6 x 9 + 12 = 66

7 x 10 + 13 = 83

8 x 11 + 14 = 102

9 x 12 + 15 = 123

 

8. 492, 448, 406, 366, 328, ?

Ans: 3
The pattern is as follows:

222 + 8 = 492

212 + 7 = 448

202 + 6 = 406

192 + 5 = 366

182 + 4 = 328

172 + 3 = 292

 

9. 505, 572, 643, 716, 795, ?

Ans: 3
Consective prime numbers are added to the number:

505 + 67 = 572

572 + 71 = 643

643 + 73 = 716

716 + 79 = 795

795 + 83 = 878

 

10. 996, 724, 506, 336, 208, ?

Ans:4 
The pattern is as follows:

103 – 4 = 996

93 – 5 = 724

83 – 6 = 506

73 – 7 = 336

63 – 8 = 208

53 – 9 = 116

 

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13 thoughts on “Number Series”

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