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UGC-NET-Paper1

Maths

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Read the Question carefully and choose the correct option.
The tenth term in the following sequence: 1, 5, 14, 30, 55.........

1. 155
2. 175
3. 285
4. 385

निम्नलिखित अनुक्रम में दसवां कार्यकाल: 1, 5, 14, 30, 55.........

1. 155
2. 175
3. 285
4. 385
This Question came in
UGC-NET-English-07-January-2025-Shift-2-Q32
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Detailed Explanation & Answer
The pattern in the differences:

5 - 1 = 4
14 - 5 = 9
30 - 14 = 16
55 - 30 = 25
These differences are 2², 3², 4², 5²...

Each term is found by adding the next square number to the previous term.

Continue this pattern to the 10th term:

55 + 6² = 91
91 + 7² = 140
140 + 8² = 204
204 + 9² = 285
285 + 10² = 385
✅ 10th term = 385
अंतरों में पैटर्न:

5 - 1 = 4
14 - 5 = 9
30 - 14 = 16
55 - 30 = 25
ये अंतर 2², 3², 4², 5² हैं...

प्रत्येक पद पिछले पद में अगला वर्ग संख्या जोड़कर पाया जाता है।

इस पैटर्न को 10वें पद तक जारी रखें:

55 + 6² = 91
91 + 7² = 140
140 + 8² = 204
204 + 9² = 285
285 + 10² = 385
✅ 10वां पद = 385
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