Question Discussion & Solution

128 × 0.5 = 64

64 × 1.5 = 96

96 × 2.5 = 240 (360)

240 × 3.5 = 840

CALCULATIONS:

⇒ 5² + 10 = 35

⇒ 6² + 12 = 48

⇒ 7² + 14 = 63

⇒ 8² + 16 = 80

⇒ 9² + 18 = 99

⇒ 10² + 20 = 120

Given series:

5, 15, 50, ?, 1030, 6185

Calculation:

The series is following the below pattern,

5 × 2 + 5 = 15

15 × 3 + 5 = 50

50 × 4 + 5 = 205

205 × 5 + 5 = 1030

1030 × 6 + 5 = 6185

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 series follows the following pattern:

1 – 1 = 0

0 + 2 = 2

2 – 1 = 1

1 + 2 = 3

3 – 1 = 2

∴ The missing term in the series is 3.