The 12th term of the given geometric sequence is equal to -8,388,608.
<u>Given the following sequence:</u>
<h3>What is a geometric sequence?</h3>
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:
![a_n =a_1r^{n-1}](https://tex.z-dn.net/?f=a_n%20%3Da_1r%5E%7Bn-1%7D)
<u>Where:</u>
- a is the first term of a geometric sequence.
Substituting the given parameters into the formula, we have;
![a_{12} =2 \times -4^{12-1}\\\\a_{12} =2 \times -4^{11}\\\\a_{12} =2 \times -4194304](https://tex.z-dn.net/?f=a_%7B12%7D%20%3D2%20%5Ctimes%20-4%5E%7B12-1%7D%5C%5C%5C%5Ca_%7B12%7D%20%3D2%20%5Ctimes%20-4%5E%7B11%7D%5C%5C%5C%5Ca_%7B12%7D%20%3D2%20%5Ctimes%20-4194304)
12th term = -8,388,608.
Read more on geometric sequence here: brainly.com/question/12630565
Answer:3.75 hours
Step-by-step explanation:
6x^2=12x-20
26x=12x-20
14x=-20
x= -1.4285714286
or x= -1.43. simplify to the hundredths place