Find the 12th term of the geometric sequence 2, comma, minus, 8, comma, 32, comma, point, point, .2,−8,32,...

The given sequence is a geometric sequence where each term is multiplied by a common ratio to get the next term.

The common ratio (r) can be found by dividing the second term by the first term, or the third term by the second term, and so on.

So, r = -8/2 = -4 or 32/-8 = -4

The nth term of a geometric sequence can be found using the formula:

a_n = a_1 * r^(n-1)

where: a_n is the nth term a_1 is the first term r is the common ratio n is the term number

Substituting the given values into the formula, we get:

a_12 = 2 * (-4)^(12-1)

a_12 = 2 * (-4)^11

a_12 = 2 * -4194304

a_12 = -8388608

So, the 12th term of the given geometric sequence is -8388608.