Question

A series is given with one term missing. Choose the correct alternative from the given ones that will complete the series:
4, 6, 10, 16, 24, ___}

• A. 40
• B. 34
• C. 30
• D. 28

Hint:

If differences increase regularly, look for patterns like +2, +4, +6, +8, etc.

Answer 1

The Correct Option is B

Concept: This sequence follows a pattern based on increasing differences between consecutive terms. Step 1:Calculate the differences.
\[ 6 - 4 = 2 \] \[ 10 - 6 = 4 \] \[ 16 - 10 = 6 \] \[ 24 - 16 = 8 \]
Step 2:Identify the pattern in differences.
The differences form an arithmetic progression: \[ 2, 4, 6, 8 \quad (\text{increasing by } 2) \]
Step 3:Find the next difference.
\[ 8 + 2 = 10 \]
Step 4:Compute the next term.
\[ 24 + 10 = 34 \]
Final Answer: 34