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
A. the answer 8s a. but if u need the number just say.
Step-by-step explanation:
![- 32 + 45 = 13 \\ t_{n} = ( a_{1} + (n - 1)d) \\ \\ d = 13 \: \: a_{1} = - 45](https://tex.z-dn.net/?f=%20%20-%2032%20%2B%2045%20%3D%2013%20%5C%5C%20%20%20t_%7Bn%7D%20%3D%20%28%20a_%7B1%7D%20%2B%20%28n%20-%201%29d%29%20%5C%5C%20%20%5C%5C%20d%20%3D%2013%20%5C%3A%20%20%5C%3A%20%20a_%7B1%7D%20%20%3D%20%20-%2045)
![t_{n} = - 45 + (n - 1)13 = = = > \\ - 45 + 13n - 13 = = = > \\ t_{n} = 13n - 58](https://tex.z-dn.net/?f=%20t_%7Bn%7D%20%3D%20%20-%2045%20%2B%20%28n%20-%201%2913%20%3D%20%20%3D%20%20%3D%20%20%3E%20%20%5C%5C%20%20-%2045%20%2B%2013n%20%20-%20%2013%20%3D%20%20%3D%20%20%3D%20%20%3E%20%20%5C%5C%20%20t_%7Bn%7D%20%3D%2013n%20-%2058)
and now
![124 = 13n - 58 = = = > \\ 182 = 13n = = = > n = 14](https://tex.z-dn.net/?f=124%20%3D%2013n%20-%2058%20%3D%20%20%3D%20%20%3D%20%20%3E%20%20%5C%5C%20182%20%3D%2013n%20%3D%20%20%3D%20%20%3D%20%20%3E%20n%20%3D%2014)
3. y-intercept is when x=0, so 2. Slope is change in y divided by change in x, so 4/3, which rounds to 1.3.
4. the equation: y=mx+d, so substitute m for the slope and d as the y-intercept, so you get y=1.3x+2
5. When you look at the graph, when x=7, then y=80. So the student may get an 80.