Question

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Answer (Detailed Solution Below)

Option 3 : 42 / 42

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Detailed Solution

सही उत्तर 42 / 42 है।

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Question:

Find the missing term in the series: $2, 6, 12, 20, 30, ?$ / श्रेणी में लुप्त पद ज्ञात कीजिए: $2, 6, 12, 20, 30, ?$

1.
36 / 36
2.
40 / 40
3.
42 / 42
4.
44 / 44

Correct Answer: 42 / 42

The successive differences are $4, 6, 8, 10$, increasing by 2 each time, so the next difference is $12$ and $30 + 12 = 42$ (the terms are $n(n+1)$ for $n = 1$ to $6$). / क्रमागत अंतर $4, 6, 8, 10$ हैं, प्रत्येक बार 2 बढ़ते हुए, अतः अगला अंतर $12$ और $30 + 12 = 42$ (पद $n = 1$ से $6$ हेतु $n(n+1)$ हैं)।

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