Find the 12th term of the geometric sequence. 1,-1,1,ldots Show your work here

To find the 12th term of the geometric sequence , we need to identify the common ratio between consecutive terms.The common ratio (r) can be found by dividing any term by its previous term. Let's calculate the common ratio using the first two terms: Now that we have the common ratio, we can use the formula for the nth term of a geometric sequence: where is the nth term, is the first term, and n is the term number.In this case, , , and . Plugging these values into the formula, we get: Since any number raised to an odd power is negative, we have: Therefore, the 12th term of the geometric sequence is .