Complete the series by filling the missing number

Series: 2, 5, 14, 57, 284, ?

Step 1: Observe the pattern

• 5 = 2 × 2 + 1
• 14 = 5 × 3 − 1
• 57 = 14 × 4 + 1
• 284 = 57 × 5 − 1

Step 2: Identify the rule

Multiply by n (n = 2,3,4,5,...) and then add or subtract 1 alternately:
add 1 when n is even, subtract 1 when n is odd.

Step 3: Apply the rule for the next term

Next n = 6 (even) → next = 284 × 6 + 1 = 1704 + 1 = 1705

Answer:

The missing number is 1705 (Option D).