Q1. A sequence starts with 4 and follows the pattern of multiplication by increasing integers: 4, 12, 36, 108, 324, ?
Correct Answer:
972
Explanation: The pattern is multiplying the previous term by an increasing factor of 3:4 × 3 = 12
12 × 3 = 36
36 × 3 = 108
108 × 3 = 324
The next term is 324 × 3 = 972.
Q2. In the sequence 3, 8, 17, 32, 51, ?, the differences between consecutive terms seem to follow a particular pattern.
Correct Answer:
72
Explanation: The differences between consecutive terms are:8 - 3 = 5
17 - 8 = 9
32 - 17 = 15
51 - 32 = 19
The differences increase by 4 each time, so the next difference will be 23. Therefore, 51 + 23 = 72.
Q3. Find the next number: 1, 4, 15, 64, ?
Correct Answer:
285
Explanation: The pattern is each term is obtained by multiplying the previous term by 4, and then adding 1:
1 × 4 + 1 = 5
4 × 4 + 1 = 15
15 × 4 + 1 = 64
64 × 4 + 1 = 285.
Q11. What comes next in the sequence: 1, 2, 6, 24, 120, ?
Correct Answer:
720
Explanation: The terms are factorials:
1! = 1, 2! = 2, 3! = 6, 4! = 24, 5! = 120
Thus, the next term is 6! = 720.
Q12. Find the next number in the series: 5, 17, 61, 233, 929, ?
Correct Answer:
3721
Explanation: The pattern is multiplying the previous term by 4 and subtracting 1:
5 × 4 - 1 = 17
17 × 4 - 1 = 61
61 × 4 - 1 = 233
233 × 4 - 1 = 929
929 × 4 - 1 = 3721.
Q13. What is the next term: 1, 4, 10, 20, 35, ?
Correct Answer:
45
Explanation: The differences between terms are:
4 - 1 = 3
10 - 4 = 6
20 - 10 = 10
35 - 20 = 15
The differences are increasing by 3 each time. So, the next difference is 21, and 35 + 21 = 45.