Find the next number in the series 1, 6, 23, 76,__________.

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