Find the 8th term of this sequence: $-6, 12, -24 ...$
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Find the 8th term of this sequence: $-6, 12, -24 ...$
This is a geometric sequence with first term a = -6 and common ratio r = -2. The nth term is a * r^(n-1). The 8th term is -6 * (-2)^7 = -6 * (-128) = 768.
This sequence follows a geometric progression with the first term -6 and a common ratio of -2. The formula for the nth term is a times r to the power of n minus 1, which gives the 8th term as -6 times -2 to the power of 7. This equals -6 times -128, which is 768.