Question Discussion & Solution

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.

CALCULATIONS:

11 × 1 + 0 = 11

⇒ 12 × 2 + 5 = 29

⇒ 13 × 3 + 10 = 49

⇒ 14 × 4 + 15 = 71

⇒ 15 × 5 + 20 = 95

The pattern of given series is:

→ 15 = 7 + 8

→ 27 = 15 + 12

→ 43 = 27 + 16

→ 63 = 43 + 20

The difference increases by 4.

Given series:

11, 33, 132, 396, 1584, 4752, ? 

Calculation:

⇒ 11 × 3 = 33,

⇒ 33 × 4 = 132

⇒ 132 × 3 = 396

⇒ 396 × 4 = 1584

⇒ 1584 × 3 = 4752

⇒ 4752 × 4 = 19008

10 × 0.5 + 1 = 6

6 × 1 – 1 = 5

5 × 1.5 + 1 = 8.5

8.5 × 2 – 1 = 16