Answer:
Explanation:
To find the 19th term of a geometric sequence, we use the formula:
nth term = first term * (common ratio)^(n-1)
In this case, the first term is -6 and the common ratio is -2. We want to find the 19th term, so n = 19.
19th term = -6 * (-2)^(19-1)
Simplifying the exponent:
19th term = -6 * (-2)^18
Evaluating the expression:
19th term = -6 * 262144
19th term = -1572864
Therefore, the 19th term of the geometric sequence is -1572864.