Find the 15th term of the sequence {-3,6,-12,24}

Step 1 ：We are given a geometric sequence {-3,6,-12,24}.

Step 2 ：In a geometric sequence, each term is multiplied by a common ratio to get the next term.

Step 3 ：In this sequence, the common ratio (r) is -2, because each term is multiplied by -2 to get the next term.

Step 4 ：The first term (a) of the sequence is -3.

Step 5 ：We are asked to find the 15th term of the sequence. So, n = 15.

Step 6 ：The formula for the nth term of a geometric sequence is \(a * r^{(n-1)}\), where a is the first term, r is the common ratio, and n is the term number.

Step 7 ：Substituting the given values into the formula, we get \(-3 * (-2)^{15-1}\).

Step 8 ：Solving this expression, we find that the 15th term of the sequence is -49152.

Step 9 ：\(\boxed{-49152}\) is the final answer.