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

1. 1, 7, 56, 504, 5040, ?

 

Ans: 3
The pattern is as follows:
1 x 7 = 7
7 x 8 = 56
56 x 9 = 504
504 x 10 = 5040
5040 x 11 = 55440

 

2. 181, 404, 755, 1276, 2015, ?

Ans: 4
The pattern is as follows:
181 + 63 + 7 = 404
404 + 73 + 8 = 755
755 + 83 + 9 = 1276
1276 + 93 + 10 = 2015
2015 + 103 + 11 = 3026

 

3. 20, 22, 26, 34, 41, ?

Ans: 3
The next number is obtained by adding sum of digits of the number to the number itself
20 + sum of its digits (2 + 0) = 22
22 + sum of its digits (2 + 2) = 26
26 + sum of its digits (2 + 6) = 34
34 + sum of its digits (3 + 4) = 41
41 + sum of its digits (4 + 1) = 46

 

4. 24, 30, 48, 78, 120, ?

Ans: 3
The pattern is as follows:
24 + 6 x 1 = 30
30 + 6 x 3 = 48
48 + 6 x 5 = 78
78 + 6 x 7 = 120
120 + 6 x 9 = 174

 

5. 71, 96, 145, 226, 347, ?

Ans: 3
The pattern is as follows:
71 + 52 = 96
96 + 72 = 145
145 + 92 = 226
226 + 112 = 347
347 + 132 = 516

 

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

6. 182, 193, 206, 214, 221, ?

Ans: 2
The next number is obtained by adding the sum of the digits:
182 + 11 = 193
193 + 13 = 206
206 + 8 = 214
214 + 7 = 221
221 + 5 = 226

 

7. 27, 27, 54, 81, 135, 216, ?

Ans: 1
The pattern is as follows:
27 + 27 = 54
27 + 54 = 81
54 + 81 = 135
81 + 135 = 216
135 + 216 = 351

 

8. 28, 42, 70, 98, 154, ?

Ans: 1
The pattern 14 being multipled by consecutive prime numbers:14 x 2 = 28
14 x 3 = 42
14 x 5 = 70
14 x 7 = 98
14 x 11 = 154
14 x 13 = 182

 

9. 3630, 3341, 3085, 2860, 2664, ?

Ans: 4
The pattern is as follows:
3630 – 172 = 3341
3341 – 162 = 3085
3085 – 152 = 2860
2860 – 142 = 2664
2664 – 132 = 2495

 

10. 5, 7, 13, 25, 45, ?

Ans: 5
The pattern is as follows:
5 + (1 x 2) = 7
7 + (2 x 3) = 13
13 + (3 x 4) = 25
25 + (4 x 5) = 45
45 + (5 x 6) = 75

 

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13 thoughts on “Number Series”

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