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UGC-NET-Paper1

Maths

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What comes next in the following sequence?
0.25, 2.25, 6.25, 12.25,?

1. 18.25
2. 19.25
3. 16.25
4. 20.25

निम्नलिखित क्रम में आगे क्या आता है?
0.25, 2.25, 6.25, 12.25,?

1. 18.25
2. 19.25
3. 16.25
4. 20.25

This Question came in

UGC-NET-Education-12-October-2022-Shift-1-Q21

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Detailed Explanation & Answer

The sequence increases by adding consecutive odd numbers squared: 1², 3², 5², ...
0.25 + 1² = 2.25
2.25 + 3² = 6.25
6.25 + 5² = 12.25

Now, continue the pattern:
12.25 + 7² = 12.25 + 49 = 20.25

लगातार विषम संख्याओं का वर्ग जोड़ने पर अनुक्रम बढ़ता है: 1², 3², 5², ...
0.25 + 1² = 2.25
2.25 + 3² = 6.25
6.25 + 5² = 12.25

अब, पैटर्न जारी रखें:
12.25 + 7² = 12.25 + 49 = 20.25

The Correct Answer is 4

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