Read the Question carefully and choose the correct option.
Consider the following number series 2, 10, 30, 68, X
What is the term X?
1. 130
2. 92
3. 88
4. 76
निम्नलिखित संख्या श्रृंखला 2, 10, 30, 68, X पर विचार करें
एक्स शब्द क्या है?
1. 130
2. 92
3. 88
4. 76
This Question came in
UGC-NET-24-September-2020-Shift-1-Q23
UGC-NET Paper 1 Full Course
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Detailed Explanation & Answer
Compute the differences between consecutive terms:
10 - 2 = 8
30 - 10 = 20
68 - 30 = 38
differences (second-order differences):
20 - 8 = 12
38 - 20 = 18
The third-order difference:
18 - 12 = 6
Assume the pattern continues with a consistent third-order difference:
Next second-order difference = 18 + 6 = 24
Next first-order difference = 38 + 24 = 62
Add the next first-order difference to the last term in the series:
Next term = 68 + 62 = 130
क्रमागत पदों के बीच अंतर की गणना करें:
10 - 2 = 8
30 - 10 = 20
68 - 30 = 38
अंतर (दूसरे क्रम के अंतर):
20 - 8 = 12
38 - 20 = 18
तीसरे क्रम का अंतर:
18 - 12 = 6
मान लें कि पैटर्न लगातार तीसरे क्रम के अंतर के साथ जारी है:
अगले दूसरे क्रम का अंतर = 18 + 6 = 24
अगले प्रथम क्रम का अंतर = 38 + 24 = 62
श्रृंखला के अंतिम पद में अगला प्रथम-क्रम अंतर जोड़ें:
अगला पद = 68 + 62 = 130
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