Answer:
The first 12 terms of the series are represented by:
![f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048](https://tex.z-dn.net/?f=f%2812%29%20%3D%20%5CSigma%5Climits_%7Bi%20%3D%201%7D%5E%7B12%7D%20%5B%28-1%29%5E%7Bn%7D%5Ccdot%202%5E%7Bn-1%7D%5D%20%3D%20-1%20%2B%202%20-%204%20%2B%208%20-%2016%20%2B%2032%20-%2064%20%2B%20128%20-256%20%2B%20512%20-%201024%20%2B%202048)
Step-by-step explanation:
The summation notation for the series
is represented by the expression
.
The first 12 terms of the series are represented by:
![f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048](https://tex.z-dn.net/?f=f%2812%29%20%3D%20%5CSigma%5Climits_%7Bi%20%3D%201%7D%5E%7B12%7D%20%5B%28-1%29%5E%7Bn%7D%5Ccdot%202%5E%7Bn-1%7D%5D%20%3D%20-1%20%2B%202%20-%204%20%2B%208%20-%2016%20%2B%2032%20-%2064%20%2B%20128%20-256%20%2B%20512%20-%201024%20%2B%202048)
Answer:
x = 7
Step-by-step explanation:
-7x= -8x+7
Add 8x to each side
-7x+8x= -8x+8x+7
x = 7
How far above the ground does the ladder touch the wall
Answer:60
Answer:
(6x-2) - (-x+5)
= 6x-2 +x -5
= 7x -7
if you're trying to solve for x, then look below
7x=7
x=1
Answer:
The last choice: x = 3.
Step-by-step explanation:
M < WYX = 1/2 * 78 = 39 degrees ( angle opposite te arc of 78 degrees).
Therefore m < XWY = 180-114-39 = 27 degrees.
7x + 6 = 27
7x = 21
x = 3.