Find the next term (?) in the following number series.
0, 9, 26, 65, 124, 217, ?, ......निम्नलिखित संख्या-शृंखला में अगला पद (?) ज्ञात कीजिए।
0, 9, 26, 65, 124, 217, ?, ......

1. A317
2. B336
3. C341
4. D342

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: D. 342

Explanation

Each term is a perfect cube with 1 alternately subtracted and added: 1³ − 1 = 0, 2³ + 1 = 9, 3³ − 1 = 26, 4³ + 1 = 65, 5³ − 1 = 124, 6³ + 1 = 217. The next term is therefore 7³ − 1 = 343 − 1 = 342.प्रत्येक पद एक पूर्ण घन है जिसमें बारी-बारी से 1 घटाया और जोड़ा गया है: 1³ − 1 = 0, 2³ + 1 = 9, 3³ − 1 = 26, 4³ + 1 = 65, 5³ − 1 = 124, 6³ + 1 = 217। अतः अगला पद 7³ − 1 = 343 − 1 = 342 होगा।