Final answer:
The sixth term of the geometric sequence 2, -6, 18, ... is -486.
Step-by-step explanation:
To find the sixth term of the geometric sequence with starting term 2, where each term is multiplied by -3 to get the next term, we can use the formula an = a1 * r(n-1). Here, a1 = 2 and r = -3, so to find the sixth term (n = 6), we substitute these values into the formula:
a6 = 2 * (-3)(6-1) = 2 * (-3)5 = 2 * (-243)
Simplifying the expression, we get: a6 = -486
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