Question Discussion & Solution

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 series follows the following pattern:

12 × 1 + 1 = 13

13 × 2 + 1 = 27

27 × 3 + 1 = 82

82 × 4 + 1 = 329

329 × 5 + 1 = 1646

The pattern followed in this question is:

8² + 8 = 72

9² + 9 = 90

10² + 10 = 110

11² + 11 = 132

12² + 12 = 156

The pattern followed by the series is

234 + 4 = 238

238 + 14 = 252

252 + 24 = 276 

276 + 34 = 310 

310 + 44 = 354 

The series follows the following pattern:

45 + 3² = 54

54 + 4² = 70

70 + 5² = 95

95 + 6² = 131

131 + 7² = 180