Find the next number in the series 1, 6, 23, 76,__________.
Find the next number in the series 1, 6, 23, 76,__________.
श्रंखला 1, 6, 23, 76,__________में अगली संख्या ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
237
Series:
1, 6, 23, 76, ?
👉 Pattern:
Multiply by increasing numbers and add next number
- $1 \times 2 + 4 = 6$
- $6 \times 3 + 5 = 23$
- $23 \times 3 + 7 = 76$ ❌ (not clear)
👉 Better use difference method:
Differences:
- $6 - 1 = 5$
- $23 - 6 = 17$
- $76 - 23 = 53$
👉 Pattern:
- $5 \times 3 + 2 = 17$
- $17 \times 3 + 2 = 53$
Next:
- $53 \times 3 + 2 = 161$
Final:
- $76 + 161 = 237$
Final Answer:
✅ 237
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