Question Discussion & Solution

The series follows the following pattern:

8

8 × 2 + 1 = 17

17 × 2 + 1 = 35

35 × 2 + 1 = 71

71 × 2 + 1 = 143

143 × 2 + 1 = 287

∴ The missing term in the series is 143.

The pattern of the series is

6 × 3 + 1 = 19

19 × 3 + 2 = 59

59 × 3 + 3 = 180

180 × 3 + 4 = 544

544 × 3 + 5 = 1637 

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

CALCULATIONS:

⇒ 5² + 10 = 35

⇒ 6² + 12 = 48

⇒ 7² + 14 = 63

⇒ 8² + 16 = 80

⇒ 9² + 18 = 99

⇒ 10² + 20 = 120

The pattern followed in this question is:

2³ + 2 = 10

3³ + 2 = 29

4³ + 2 = 66

5³ + 2 = 127

6³ + 2 = 218