Explanation

Look at how much it increases each time:

Term 1: x  

Term 2: x + 6 → increased by 6  

Term 3: x + 18 → increased by 12  

Pattern of increases: 6, 12, ...  

It goes up by 6 each time. So next increase = 18

Term 4 = Term 3 + 18 = (x + 18) + 18 = x + 36

If we take x = 18, then the terms are 18, 24, 36, 54

Last verified on 05-09-2026

Explanation

1, 8, 27, 64, 125, 216, 343, and 512

1^3 = 1

2^3 = 8

3^3 = 27

4^3 = 64

5^3 = 125

6^3 = 216

7^3 = 343

8^3 = 512

Last verified on 05-09-2026

Explanation

The pattern in the series appears to be alternating between adding and subtracting.

27 + 5 = 32

32 - 2 = 30

30 + 5 = 35

35 - 2 = 33

33 + 5 = 38

Last verified on 05-09-2026

Explanation

Pattern:

90 ÷ 2 = 45

45 + 3 = 48

48 ÷ 2 = 24

24 + 5 = 29

29 ÷ 2 = 14.5

The pattern alternates ÷2, +3, ÷2, +5, ÷2.

Last verified on 06-09-2026

Explanation

The sequence is repeating every 4 terms:

2, 3, 5, 8 | 2, 3, 5, 8 | ...

Since:

307 ÷ 4 = 76 remainder 3

So the 307th term corresponds to the 3rd term of the repeating pattern.

Answer: 5

Last verified on 06-09-2026

Explanation

Each number is multiplied by 2:

3 × 2 = 6 → 6 × 2 = 12 → 24 → 48 → 96.

Last verified on 07-09-2026

Explanation

Pattern: 2 duty days, 1 rest day, repeat until 7 duty days are done.  

First duty day = Monday

Let’s list them:

Day 1: Monday → Duty 1  

Day 2: Tuesday → Duty 2  

Day 3: Wednesday → Rest  

Day 4: Thursday → Duty 3  

Day 5: Friday → Duty 4  

Day 6: Saturday → Rest  

Day 7: Sunday → Duty 5  

Day 8: Monday → Duty 6  

Day 9: Tuesday → Rest  

Day 10: Wednesday → Duty 7

The 7th duty day is Wednesday.

Last verified on 11-09-2026

Explanation

The sequence: 18, 24, 30, 36

Check for constant percentage growth = each step should multiply by the same number.

Step 1: 24 / 18 = 1.333... = 33.33% increase  

Step 2: 30 / 24 = 1.25 = 25% increase  

Step 3: 36 / 30 = 1.20 = 20% increase  

The ratios are different: 1.333, 1.25, 1.20  

So the percentage increases are not the same.

Answer: The ratios 24/18, 30/24 and 36/30 differ, so the percentage increases are not constant.

Last verified on 11-09-2026

Explanation

Pattern = Previous × 2 + 1

4 × 2 + 1 = 9

9 × 2 + 1 = 19

19 × 2 + 1 = 39

39 × 2 + 1 = 79

79 × 2 + 1 = 159

Verified & Updated

Explanation

Find the differences:

6 − 2 = 4

12 − 6 = 6

20 − 12 = 8

30 − 20 = 10

42 − 30 = 12

The differences increase by 2 each time.

Next difference = 14

42+14=56

​