<span>There are two possible ways where you can express this. First, is by presenting the equation net of 5 percent which is "x=1.0355n+2.6505m". The other way to express such is by presenting it with gross amount which is "x= (1-0.05)(1.09n+2.79m)"
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The recursive formula for the geometric sequence is ![a_n=(-\frac{1}{4} )a_{n-1}](https://tex.z-dn.net/?f=a_n%3D%28-%5Cfrac%7B1%7D%7B4%7D%20%29a_%7Bn-1%7D)
Explanation:
The given sequence is ![\{-16,4,-1,........\}](https://tex.z-dn.net/?f=%5C%7B-16%2C4%2C-1%2C........%5C%7D)
We need to determine the recursive formula for the given geometric sequence.
To determine the recursive formula, first we shall find the common difference.
Since, it is a geometric sequence, the common difference can be determined by
![r=\frac{4}{-16} =-\frac{1}{4}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%7D%7B-16%7D%20%3D-%5Cfrac%7B1%7D%7B4%7D)
![r=-\frac{1}{4}](https://tex.z-dn.net/?f=r%3D-%5Cfrac%7B1%7D%7B4%7D)
Hence, the common difference of the given geometric sequence is ![r=-\frac{1}{4}](https://tex.z-dn.net/?f=r%3D-%5Cfrac%7B1%7D%7B4%7D)
The recursive equation for the geometric sequence can be determined using the formula,
![a_n=r(a_{n-1})](https://tex.z-dn.net/?f=a_n%3Dr%28a_%7Bn-1%7D%29)
Substituting the value
, we get,
![a_n=(-\frac{1}{4} )a_{n-1}](https://tex.z-dn.net/?f=a_n%3D%28-%5Cfrac%7B1%7D%7B4%7D%20%29a_%7Bn-1%7D)
Thus, the recursive formula for the geometric sequence is ![a_n=(-\frac{1}{4} )a_{n-1}](https://tex.z-dn.net/?f=a_n%3D%28-%5Cfrac%7B1%7D%7B4%7D%20%29a_%7Bn-1%7D)
Answer:
x = ![\frac{5}{a+3-b}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Ba%2B3-b%7D)
Step-by-step explanation:
Given
ax + 3x = bx + 5
Collect terms in x on the left side by subtracting bx from both sides
ax + 3x - bx = 5 ( factor out x on the left side )
x(a + 3 - b) = 5 ( divide both sides by (a + 3 - b ))
x = ![\frac{5}{a+3-b}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Ba%2B3-b%7D)
Answer:
8.8 laps
Step-by-step explanation:
because of the concepts of molecular osmosis used to provide a detailed explanation to kermit. Thereby omitting the theory of dark matter into the universe and thus replacing it with the new compulsive theory of 50 % growth of human anatomical secretory sections.
Answer:
14
Step-by-step explanation: