Final answer:
The 10th term of the geometric sequence is -19683.
Step-by-step explanation:
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant called the common ratio. In this case, the common ratio is -3 because each term is obtained by multiplying the previous term by -3.
The first term of the sequence is 1, and we know that each term is obtained by multiplying the previous term by -3. So the second term is 1*(-3) = -3, the third term is -3*(-3) = 9, and so on.
To find the 10th term of the sequence, we can use the formula:
an = a1 * r(n-1)
where an is the nth term, a1 is the first term, r is the common ratio, and n is the number of terms.
Plugging in the values, we get:
a10 = 1 * (-3)(10-1) = 1 * (-3)9 = 1 * (-19683) = -19683.