Find the next term in the given series below :8,24,23,69,68,204,203,__

The given series alternates between multiplication by 3 and subtraction by 1.

Here's how you can find the next term:

1. Start with the first term: 8
2. Multiply by 3: 8 * 3 = 24
3. Subtract 1: 24 - 1 = 23
4. Multiply by 3: 23 * 3 = 69
5. Subtract 1: 69 - 1 = 68
6. Multiply by 3: 68 * 3 = 204
7. Subtract 1: 204 - 1 = 203

Following this pattern, the next step would be to multiply the last term by 3.

So, 203 * 3 = 609

Therefore, the next term in the series is 609.