Question Discussion & Solution

The number pattern in the series can be decoded as:

⇒ 3

⇒ 4 – 3 = 1 = 1⁴

⇒ 20 – 4 = 16 = 2⁴

⇒ 101 – 20 = 81 = 3⁴

⇒ 357 – 101 = 256 = 4⁴

⇒ 982 – 357 = 625 = 5⁴

⇒ 2278 – 982 = 1296 = 6⁴

The pattern of given series is:

→ 15 = 7 + 8

→ 27 = 15 + 12

→ 43 = 27 + 16

→ 63 = 43 + 20

The difference increases by 4.

128 × 0.5 = 64

64 × 1.5 = 96

96 × 2.5 = 240 (360)

240 × 3.5 = 840

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:

5.5 × 2 - 2 = 9

9 × 2 - 2 = 16

16 × 2 - 2 = 30

30 × 2 - 2 = 58

58 × 2 - 2 = 114