Question

1.
2.
3.
4.
Answer (Detailed Solution Below)

Option 1 : $185$ / $185$

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Detailed Solution

सही उत्तर $185$ / $185$ है।

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Question:

Find the missing term in the series: $4, 9, 20, 43, 90, ?$ / श्रृंखला में लुप्त पद ज्ञात कीजिए: $4, 9, 20, 43, 90, ?$

1.
$185$ / $185$
2.
$180$ / $180$
3.
$182$ / $182$
4.
$188$ / $188$

Correct Answer: $185$ / $185$

Each term is obtained by doubling the previous term and adding $1, 2, 3, 4, 5$ in order: $4 \times 2 + 1 = 9$, $9 \times 2 + 2 = 20$, $20 \times 2 + 3 = 43$, $43 \times 2 + 4 = 90$, so the next term is $90 \times 2 + 5 = 185$. / प्रत्येक पद पिछले पद को दोगुना करके क्रमशः $1, 2, 3, 4, 5$ जोड़ने पर प्राप्त होता है: $4 \times 2 + 1 = 9$, $9 \times 2 + 2 = 20$, $20 \times 2 + 3 = 43$, $43 \times 2 + 4 = 90$, अतः अगला पद $90 \times 2 + 5 = 185$ होगा।

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