Explanation:

- Let's first identify the pattern in the given series: 2, 3, 13, 43, 231, 13617.

- Notice the multiplication and addition:

- 2 ? 3: Multiply by 1.5 and add 1 (2*1.5 + 1 = 3).

- 3 ? 13: Multiply by 4 and add 1 (3*4 + 1 = 13).

- 13 ? 43: Multiply by 3 and add 4 (13*3 + 4 = 43).

- 43 ? 231: Multiply by 5 and add 16 (43*5 + 16 = 231).

- 231 ? 13617: Multiply by 59 and add 2 (231*59 + 2 = 13617).

- Applying this pattern, starting from A = 13617:

- 13617 ? B: Multiply by 5 and add 16.

- B ? C: Multiply by 3 and add 4.

- C ? D: Multiply by 4 and add 1.

- D ? E: Multiply by 1.5 and add 1.

- Calculating these:

- B = 13617*5 + 16 = 68085 + 16 = 68101.

- C = 68101*3 + 4 = 204303 + 4 = 204307.

- D = 204307*4 + 1 = 817228 + 1 = 817229.

- E = 817229*1.5 + 1 = 1225843.5 + 1 = 1225844.5, which is 1225845 after rounding.

- None of the options seem to match this number exactly.

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