Question:
What is the missing number in the following sequence?
\[
2,\ 6,\ 12,\ 20,\ \_ \_ \_ \_,\ 42
\]
What is the missing number in the following sequence?
\[ 2,\ 6,\ 12,\ 20,\ \_ \_ \_ \_,\ 42 \]
\[ 2,\ 6,\ 12,\ 20,\ \_ \_ \_ \_,\ 42 \]
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The sequence \(2,6,12,20,30,42\) follows the pattern \(n(n+1)\).
Updated On: Jul 4, 2026
- \(36\)
- \(32\)
- \(30\)
- \(24\)
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The Correct Option is C
Solution and Explanation
Concept:
The given sequence is \[ 2,\ 6,\ 12,\ 20,\ _ _ _ _ ,\ 42 \] These terms follow the pattern \[ n(n+1) \]
Step 1: Check the terms. \[ 1\times 2=2 \] \[ 2\times 3=6 \] \[ 3\times 4=12 \] \[ 4\times 5=20 \]
Step 2: Find the missing term. The next term is \[ 5\times 6=30 \]
Step 3: Verify the last term. \[ 6\times 7=42 \] So the sequence is correct.
Step 4: Final answer. \[ \boxed{30} \]
The given sequence is \[ 2,\ 6,\ 12,\ 20,\ _ _ _ _ ,\ 42 \] These terms follow the pattern \[ n(n+1) \]
Step 1: Check the terms. \[ 1\times 2=2 \] \[ 2\times 3=6 \] \[ 3\times 4=12 \] \[ 4\times 5=20 \]
Step 2: Find the missing term. The next term is \[ 5\times 6=30 \]
Step 3: Verify the last term. \[ 6\times 7=42 \] So the sequence is correct.
Step 4: Final answer. \[ \boxed{30} \]
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