Question Discussion & Solution

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:

(14 ÷ 2) + 1 = 8

⇒ (8 ÷ 2) + 2 = 6

⇒ (6 ÷ 2) + 1 = 4

⇒ (4 ÷ 2) + 2 = 4

⇒ (4 ÷ 2) + 1 = 3

The pattern of given series is:

→ 15 = 7 + 8

→ 27 = 15 + 12

→ 43 = 27 + 16

→ 63 = 43 + 20

The difference increases by 4.

The pattern followed in this question is:

2³ + 2 = 10

3³ + 2 = 29

4³ + 2 = 66

5³ + 2 = 127

6³ + 2 = 218

9 × 5 + 1 = 46

10 × 6 + 1 = 61

11 × 7 + 1 = 78

12 × 8 + 1 = 97

13 × 9 + 1 = 118