Method 1:
The recursive formula states that every next term is three times the previous one, plus two.
So, we have:
Method 2:
You can write the expression for
, and use the recursive formula until you get to the starting point:
![a_5 = 3a_4+2 = 3(3a_3+2)+2 = 9a_3+8 = 9(3a_2+2)+8 = 27a_2+26 = 27(3a_1+2)+26 = 81a_1+80](https://tex.z-dn.net/?f=a_5%20%3D%203a_4%2B2%20%3D%203%283a_3%2B2%29%2B2%20%3D%209a_3%2B8%20%3D%209%283a_2%2B2%29%2B8%20%3D%2027a_2%2B26%20%3D%2027%283a_1%2B2%29%2B26%20%3D%2081a_1%2B80)
Now use the fact that
to get the conclusion
![a_5 = 81+80 = 161](https://tex.z-dn.net/?f=a_5%20%3D%2081%2B80%20%3D%20161)
Answer:
![\frac{x - 4}{x - 7}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20-%204%7D%7Bx%20-%207%7D%20)
Step-by-step explanation:
![\frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 } \\ \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6) \\ and \: we \: will \: be \: left \: with \: \frac{x - 4}{x - 7}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%2B%202x%20-%2024%20%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%20x%20-%2042%20%7D%20%20%5C%5C%20%20%5Cfrac%7B%28x%20%2B%206%29%20%28x%20-%204%29%7D%7B%28x%20-%207%29%28x%20%2B%206%29%7D%20%5C%3Athe%20%5C%3A%20term%20%5C%3A%20will%20%5C%3A%20be%20%5C%3A%20simplified%20%28x%20%2B%206%29%20%20%5C%5C%20and%20%5C%3A%20we%20%5C%3A%20will%20%5C%3A%20be%20%5C%3A%20left%20%5C%3A%20with%20%5C%3A%20%20%5Cfrac%7Bx%20-%204%7D%7Bx%20-%207%7D%20)
Answer:
x = -3
Step-by-step explanation:
5x + 3 = 4x,
x + 3 = 0,
x = -3
Answer:
10,000
Step-by-step explanation:
1<u>4</u>,500 *4 is less that five.
round it down and you get
<h2>
<em> 10,000</em></h2>
Answer:
60 square units
Step-by-step explanation:
Area = length * width
First, you will need to divide the shape into two different shapes. One shape will be larger than the other.
<u>Area of large shape:</u>
A = 12 * 4
A = 48
<u>Area of small shape:</u>
A = 6 * 2
A = 12
Area = 48 + 12 = 60 sq units