Answer:

Step-by-step explanation:
![\displaystyle \frac{x+1}{2} + \frac{x}{3} = 3\\\\LCM = 6\\\\So, Multiply \ both \ sides \ by \ 6\\\\ (\frac{x+1}{2} * 6) + (\frac{x}{3} * 6) = 3*6\\\\3(x+1) + (x*2) = 18\\\\ 3x + 3 + 2x = 18\\\\5x + 3 = 18\\\\Subtract \ 3 \ to \ both \ sides\\\\ 5x = 18-3\\\\5x = 15\\\\Divide \ both \ sides \ by \ 5\\\\\boxed{ x = 3}\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bx%2B1%7D%7B2%7D%20%2B%20%5Cfrac%7Bx%7D%7B3%7D%20%3D%203%5C%5C%5C%5CLCM%20%3D%206%5C%5C%5C%5CSo%2C%20Multiply%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%206%5C%5C%5C%5C%20%28%5Cfrac%7Bx%2B1%7D%7B2%7D%20%2A%206%29%20%20%2B%20%28%5Cfrac%7Bx%7D%7B3%7D%20%2A%206%29%20%3D%203%2A6%5C%5C%5C%5C3%28x%2B1%29%20%2B%20%28x%2A2%29%20%3D%2018%5C%5C%5C%5C%203x%20%2B%203%20%2B%202x%20%3D%2018%5C%5C%5C%5C5x%20%2B%203%20%3D%2018%5C%5C%5C%5CSubtract%20%5C%203%20%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5C%205x%20%3D%2018-3%5C%5C%5C%5C5x%20%3D%2015%5C%5C%5C%5CDivide%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%205%5C%5C%5C%5C%5Cboxed%7B%20x%20%3D%203%7D%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
-6y-6 is the answer for this question
We want to factor:

This may seem tricky because of the high powers, but remember that

. Then we can factor it as:
Answer:
See below
Step-by-step explanation:
-4 (1/3)^(n-1)
Part A
<em><u>For n = 1</u></em>
-4(1/3)^(1 - 1)
-4(1/3)^0 Anything to the 0 power (except 0) is 1
-4 (1)
-4
<em><u>n = 2</u></em>
-4(1/3)^(2 - 1)
-4*(1/3)^1
-4/3
<em><u>n = 3</u></em>
- 4(1/3)^2
-4/9
<em><u>n = 4</u></em>
-4/(1/3)^3
-4 / 27
Part B
The series converges.
1/3 is between -1 <= 1/3 <= 1
Part C
<em><u>Formula</u></em>
Sum = a/(1 - r)
a = - 4
r = 1/3
Sum = -4/(1 - 1/3) = -4//2/3 = - 4/(0.666666666...) = -6
Answer:

Step-by-step explanation:
To solve the expression

first we will multiply -n with each term and then find their products.
When doing multiplication the powers will be added and co-efficient will be multiplied.
