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

1.  41, 131, 271, 461, 701, ?

Ans:5
The pattern is as follows:

62 + 5 = 41

112 + 10 = 131

162 + 15 = 271

212 + 20 = 461

262 + 25 = 701

312 + 30 = 991

 

2. 4826809, 371293, 28561, 2197, 169, ?

Ans: 4
The pattern is as follows:

4826809/13 = 371293

371293/13 = 28561

28561/13 = 2197

2197/13 = 169

169/13 = 13

 

3. 57, 73, 91, 111, 133, ?

Ans: 4
The pattern is as follows:

8 x 7 + 1 = 57

9 x 8 + 1 = 73

10 x 9 + 1 = 91

11 x 10 + 1 = 111

12 x 11 + 1 = 133

13 x 12 + 1 = 157

 

4. 627, 640, 651, 660, 667, ?

Ans: 5
The pattern is as follows:

33 x 19 = 627

32 x 20 = 640

31 x 21 = 651

30 x 22 = 660

29 x 23 = 667

28 x 24 = 672

 

5. 64.0, 96.0, 240.0, 840.0, 3780.0, ?

Ans: 4
The pattern is as follows:

64 x 1.5 = 96.0

96 x 2.5 = 240.0

240 x 3.5 = 840.0

840 x 4.5 = 3780.0

3780 x 5.5 = 20790.0

 

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

6. 10, 22, 42, 72, 114, ?

Ans: 5
The pattern is as follows:

10 + (3 x 4) = 22

22 + (4 x 5) = 42

42 + (5 x 6) = 72

72 + (6 x 7) = 114

114 + (7 x 8) = 170

 

7. 13, 13, 26, 39, 65, 104, ?

Ans: 5
The pattern is as follows:

13 + 13 = 26

13 + 26 = 39

26 + 39 = 65

39 + 65 = 104

65 + 104 = 169

 

8. 2227, 2083, 1962, 1862, 1781, ?

Ans: 5
The pattern is as follows:

2227 – 122 = 2083

2083 – 112 = 1962

1962 – 102 = 1862

1862 – 92 = 1781

1781 – 82 = 1717

 

9. 45360, 5040, 630, 90, 15, ?

Ans: 5
The pattern is as follows:

45360 ÷ 9 = 5040

5040 ÷ 8 = 630

630 ÷ 7 = 90

90 ÷ 6 = 15

15 ÷ 5 = 3

 

10. 7, 14, 56, 336, 2688, ?

Ans: 3
The pattern is as follows:

7 x 2 = 14

14 x 4 = 56

56 x 6 = 336

336 x 8 = 2688

2688 x 10 = 26880

 

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