Question:
Select the number that can replace the question mark (?) in the following series:
17, 21, 30, 46, 71, ?
निम्नलिखित श्रृंखला में प्रश्न चिह्न (?) को प्रतिस्थापित करने वाली संख्या का चयन करें:
17, 21, 30, 46, 71, ?
Options:
- 105
- 107
- 112
- 98
- 105
- 107
- 112
- 98
Correct Answer: b)
Explanation:
Observe the difference between consecutive terms:
21 – 17 = 4 = \(2^2\)
30 – 21 = 9 = \(3^2\)
46 – 30 = 16 = \(4^2\)
71 – 46 = 25 = \(5^2\)
Next difference must be \(6^2 = 36\).
Therefore, \(71 + 36 = 107\) (Option b).
क्रमागत पदों के बीच का अंतर देखें:
21 – 17 = 4 = \(2^2\)
30 – 21 = 9 = \(3^2\)
46 – 30 = 16 = \(4^2\)
71 – 46 = 25 = \(5^2\)
अगला अंतर \(6^2 = 36\) होगा।
अतः, \(71 + 36 = 107\) (विकल्प b)।