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Part 1
Find the tenth term of the sequence.
4, 2, negative 2, negative 8, negative 16, ...
To find the tenth term of the sequence, we'll first identify the pattern.
Starting from the first term (4), each subsequent term is obtained by multiplying the previous term by -1 and then subtracting 2.
So the pattern can be described as follows:
4, 4*(-1) - 2 = 2
2*(-1) - 2 = -2
-2*(-1) - 2 = -8
-8*(-1) - 2 = -16
...
Continuing this pattern, we can find the tenth term:
-16*(-1) -2 = 16 - 2 = 14
Therefore, the tenth term of the sequence is 14.