Question:

What is the missing number in the following sequence? 720, ?, 120, 30, 6, 1

Show Hint

If a sequence drops very quickly, try reading it backwards as a multiplication sequence.
  • 160
  • 200
  • 360
  • 240
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The Correct Option is C

Solution and Explanation

Step 1: Concept
This is a factorial-based sequence or a division sequence where each term is divided by a decreasing integer.

Step 2: Meaning

Reading from right to left, we see: $1 \times 6 = 6$; $6 \times 5 = 30$; $30 \times 4 = 120$.

Step 3: Analysis

Continuing this increasing multiplication: $120 \times 3 = 360$. To check the final step, $360 \times 2 = 720$.

Step 4: Conclusion

The missing number is $360$, as it fits the progression of dividing the previous number by $n, n-1, n-2...$. Final Answer: (C)
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