What should come in place of the question mark 39 39 in the following number series 9 28 126 344 219...........

What should come in place of the question mark '?' in the following number series?

9, 28, 126, 344, ?, 2198

This questions was previously asked in

RRB Clerk Prelims (19 Aug, 2023 Shift 1)

730

1332

1001

513

1101

To determine the missing number in the series: 9, 28, 126, 344, ?, 2198, observe the pattern:

- 9: $2^3 + 1 = 8 + 1 = 9$

- 28: $3^3 + 1 = 27 + 1 = 28$

- 126: $5^3 + 1 = 125 + 1 = 126$

- 344: $7^3 + 1 = 343 + 1 = 344$

Here's the identified pattern:

- Values are derived by $n^3 + 1$.

- Sequence of n: 2, 3, 5, 7, (next should be the next prime, 11), 13.

$$11^3 + 1 = 1331 + 1 = 1332$$

- Option 2: 1332 is a match.

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