Find the missing term in the given series: 4, 10, ?, 82, 244, 730

Answer: (B) 28

Explanation:

Step 1: Analyze the pattern in the given series

The pattern is that each term is obtained by multiplying the previous term by 3 and then subtracting 2:

• 10 = 3 × 4 - 2
• ? = 3 × 10 - 2
• 82 = 3 × ? - 2
• 244 = 3 × 82 - 2
• 730 = 3 × 244 - 2

Step 2: Apply the pattern to find the missing term

Let the missing term be x. Then:

x = 3 × 10 - 2 = 30 - 2 = 28

Step 3: Verify the pattern with the found term

Check: 3 × 28 - 2 = 84 - 2 = 82, which matches the next term in the series.

Therefore, the missing term is 28.