Question:
Find the missing term in the sequence: 7, 19, 43, 91, 187, ?
अनुक्रम में लुप्त पद ज्ञात कीजिए: 7, 19, 43, 91, 187, ?
Options:
- 379
- 375
- 381
- 383
- 379
- 375
- 381
- 383
Correct Answer: a)
Explanation:
Observe the differences and recurrence pattern:
\(7 \times 2 + 5 = 19\)
\(19 \times 2 + 5 = 43\)
\(43 \times 2 + 5 = 91\)
\(91 \times 2 + 5 = 187\)
\(187 \times 2 + 5 = 374 + 5 = 379\).
Alternatively, check differences: 12, 24, 48, 96, 192 (each difference doubles).
\(187 + 192 = 379\).
\(7 \times 2 + 5 = 19\)
\(19 \times 2 + 5 = 43\)
\(43 \times 2 + 5 = 91\)
\(91 \times 2 + 5 = 187\)
\(187 \times 2 + 5 = 374 + 5 = 379\).
Alternatively, check differences: 12, 24, 48, 96, 192 (each difference doubles).
\(187 + 192 = 379\).
पैटर्न का विश्लेषण करें:
\(7 \times 2 + 5 = 19\)
\(19 \times 2 + 5 = 43\)
\(43 \times 2 + 5 = 91\)
\(91 \times 2 + 5 = 187\)
\(187 \times 2 + 5 = 374 + 5 = 379\)।
या अंतर देखें: 12, 24, 48, 96, 192 (प्रत्येक अंतर दोगुना हो रहा है)।
\(187 + 192 = 379\)।
\(7 \times 2 + 5 = 19\)
\(19 \times 2 + 5 = 43\)
\(43 \times 2 + 5 = 91\)
\(91 \times 2 + 5 = 187\)
\(187 \times 2 + 5 = 374 + 5 = 379\)।
या अंतर देखें: 12, 24, 48, 96, 192 (प्रत्येक अंतर दोगुना हो रहा है)।
\(187 + 192 = 379\)।