Question Discussion & Solution

Given:

The number series:

4, 7, 12, 22, 34, 49

Concept Used:

Number series following a fixed pattern.

Calculation;

The given number series follows the pattern:

4 + 3 × 1 = 7

7 + 3 × 2 = 13

13 + 3 × 3 = 22

22 + 3 × 4 = 34

34 + 3 × 5 = 49

∴ The Wrong Number in the given number series is 12

10 × 0.5 + 1 = 6

6 × 1 – 1 = 5

5 × 1.5 + 1 = 8.5

8.5 × 2 – 1 = 16

The series follows the following pattern:

12 + 11 = 23

23 + 22 = 45

45 + 33 = 78

78 + 44 = 122

122 + 55 = 177

The series follows the following pattern:

32 × 0.5 = 16

16 × 1.5 = 24

24 × 2.5 = 60

60 × 3.5 = 210

210 × 4.5 = 945

∴ The missing term in the series is 32.

Fibonacci Series is a special number series in which each term is obtained by adding the previous 2 terms starting from 1, 1.

The Fibonacci Range Used: 3, 5, 8, 13

3 × 3 = 9

9 × 5 = 45

45 × 8 = 360

360 × 13 = 4680