Question 1188532
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There is no way to find "THE" correct answer to any problem like this; ANY subsequent number(s) will form a valid sequence.<br>
All you can do is try to find a logical pattern in the sequence that produces the given sequence and then use that pattern to GUESS what the next number(s) are.<br>
In this example, one thing you have is the alternating signs; you need to incorporate that into your answer.<br>
Then, ignoring the alternating signs, look at the numerators and denominators of the terms of the sequence separately and look for patterns:<br>
numerators: 1, 4, 27, 256, ...
denominators: 2, 5, 8, 11, ...<br>
A PROBABLE pattern for the denominators should be clear.<br>
For the numerators, a PROBABLE pattern is harder to see; perhaps a special feature about the number 27 will give you the clue you need.<br>