Given the following sequence, find the 12th term: {2, -4, 8,...} -4096 4096 2048 -2048

- 4096

Step-by-step explanation:

There is a common ratio between consecutive terms of the sequence.

r = - 4 ÷ 2 = 8 ÷ - 4 = - 2

This indicates the sequence is geometric with n th term

= a

where a is the first term and r the common ratio

Here a = 2 and r = - 2 , thus

= 2 × = 2 × - 2048 = - 4096

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

step-by-step explanation: