1、-3,-16,-27,0,125,432,( )
Solution
This sequence appears to be two interleaved sequences:
-3, -16, -27, 0, 125, 432
If we separate these out, we get:
-3, -27, 125 -16, 0, 432
The first sequence appears to be a cubic sequence, where each term is the cube of an integer:
-3 = (-1)^3 -27 = (-3)^3 125 = 5^3
So the next term in this sequence would be 7^3 = 343.
The second sequence is a bit trickier. It doesn't seem to follow a simple arithmetic or geometric progression. However, if we look at the differences between each term:
0 - (-16) = 16 432 - 0 = 432
We can see that each term is 16 times the previous term. So if we continue this pattern, the next term would be 432 * 16 = 6912.
So the next two terms in the original sequence would be 343 and 6912.
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