Question

Insert the missing number: 2, 4, 12, 48, 240, (___)

• A. 960
• B. 1440
• C. 1080
• D. 1920

Hint:

Multiply each successive term by $n+1$: $2(\times 2) \to 4(\times 3) \to 12(\times 4) \to 48(\times 5) \to 240(\times 6) \to 1440$.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Evaluating the multiplicative ratio between consecutive terms in the series.

Step 2: Key Formula or Approach:
The multiplication factors are:
\[2 \times 2 = 4\] \[4 \times 3 = 12\] \[12 \times 4 = 48\] \[48 \times 5 = 240\]

Step 3: Detailed Explanation:
Following this progressive multiplier sequence ($ imes 2, \times 3, \times 4, \times 5, \times 6$):
\[240 \times 6 = 1440\]

Step 4: Final Answer:
Hence, the missing number is 1440.