What comes next in the following sequence?
0.25, 2.25, 6.25, 12.25, ?निम्नलिखित अनुक्रम में अगली संख्या क्या होगी?
0.25, 2.25, 6.25, 12.25, ?

1. A18.25
2. B19.25
3. C16.25
4. D20.25

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Correct answer: D. 20.25

Explanation

The successive differences are 2.25 − 0.25 = 2, 6.25 − 2.25 = 4, 12.25 − 6.25 = 6, so the next difference is 8 and the next term is 12.25 + 8 = 20.25. The same pattern appears as squares: 0.25 = (0.5)², 2.25 = (1.5)², 6.25 = (2.5)², 12.25 = (3.5)², next = (4.5)² = 20.25.क्रमागत अंतर हैं 2.25 − 0.25 = 2, 6.25 − 2.25 = 4, 12.25 − 6.25 = 6; अतः अगला अंतर 8 होगा और अगला पद = 12.25 + 8 = 20.25। यही प्रतिरूप वर्गों के रूप में भी दिखता है: 0.25 = (0.5)², 2.25 = (1.5)², 6.25 = (2.5)², 12.25 = (3.5)², अगला = (4.5)² = 20.25।