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-3,-16,-27,0,125,432,(  )

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-3,-16,-27,0,125,432,(  )

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Solution 1

This sequence appears to be a combination of two different sequences.

The first sequence is -3, -16, -27, which decreases by 13 each time.

The second sequence is 0, 125, 432, which increases by the cube of consecutive numbers (5^3 = 125, 6^3 = 216, 125 + 216 = 341).

So, if we continue these patterns, the next number in the first sequence would be -27 - 13 = -40.

The next number in the second sequence would be 432 + 7^3 = 432 + 343 = 775.

Therefore, the next number in the combined sequence would be -40 + 775 = 735.

This problem has been solved

Solution 2

This sequence appears to be two interleaved sequences: -3, -27, 125 and -16, 0, 432.

The first sequence is a cubic sequence where each term is 3^3, 3^4, 5^3. The next term in this sequence would be 5^4 = 625.

The second sequence is a cubic sequence where each term is -2^4, 0^4, 6^4. The next term in this sequence would be 6^5 = 7776.

However, since the original sequence is interleaved, we only need the next term from the first sequence.

So, the next term in the sequence is 625.

This problem has been solved

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