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The 12th term of the given geometric sequence is equal to -8,388,608.

Given the following sequence:

  • 2, -8, 32, ...

What is a geometric sequence?

A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.

Mathematically, a geometric sequence is given by the expression:

[tex]a_n =a_1r^{n-1}[/tex]

Where:

  • r is the common ratio.
  • a is the first term of a geometric sequence.

Substituting the given parameters into the formula, we have;

[tex]a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304[/tex]

12th term = -8,388,608.

Read more on geometric sequence here: brainly.com/question/12630565