The first five terms of the sequence are {0, -1.4, -2.8, -4.2, -5.6}
<h3>Recursive function</h3>
Given the nth term of a recursive expression shown below
an =an-1 - 1.4
where
an-1 is the preceding term
a1 is the first term
an is the nth term
an-1 is
Given the following
a1 = 0
For the second term a2
a2 = 0 - 1.4
a2 = -1.4
For the third term a3
a3 = -1.4 - 1.4
a3 = -2.8
For the fourth term a4
a4 = -2.8 - 1.4
a4 = -4.2
For the fifth term a2
a5 = -4.2 - 1.4
a5 = -5.6
Hence the first five terms of the sequence are {0, -1.4, -2.8, -4.2, -5.6}
Learn more on recursive function here: brainly.com/question/489759
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Alright, lets get started.
Suppose the original deck size: width = x feet
the width is one-fourth the length given in question means length = 4 x feet
Means the originally area = ![x * 4 x = 4 x^{2}](https://tex.z-dn.net/?f=%20x%20%2A%204%20x%20%3D%204%20x%5E%7B2%7D%20%20)
Now the dimensions are changed.
New dimensions, width = (x + 6)
new length = (4x+10)
So, new area will be = ![(x+6) * (4x+10) = 4x^{2} + 10 x + 24 x + 60 = 4x^{2} + 34 x + 60](https://tex.z-dn.net/?f=%20%28x%2B6%29%20%2A%20%284x%2B10%29%20%3D%204x%5E%7B2%7D%20%2B%2010%20x%20%2B%2024%20x%20%2B%2060%20%3D%204x%5E%7B2%7D%20%2B%2034%20x%20%2B%2060%20)
the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means
![4x^{2} + 128= 4x^{2} + 34 x + 60](https://tex.z-dn.net/?f=%204x%5E%7B2%7D%20%2B%20128%3D%204x%5E%7B2%7D%20%2B%2034%20x%20%2B%2060%20)
Subtracting
from both sides
![128 = 34 x + 60](https://tex.z-dn.net/?f=%20128%20%3D%2034%20x%20%2B%2060%20)
Subtracting 60 from both sides
![128 - 60 = 34 x + 60 - 60](https://tex.z-dn.net/?f=%20128%20-%2060%20%3D%2034%20x%20%2B%2060%20-%2060%20)
![68 = 34 x](https://tex.z-dn.net/?f=%2068%20%3D%2034%20%20x%20)
Dividing 34 in both sides
![\frac{68}{34} = \frac{34 x }{34}](https://tex.z-dn.net/?f=%20%5Cfrac%7B68%7D%7B34%7D%20%20%3D%20%5Cfrac%7B34%20x%20%7D%7B34%7D%20%20)
![x = 2](https://tex.z-dn.net/?f=%20x%20%3D%202%20)
Means width = 2 feet
Length would be = 4 time width = 4 * 2 = 8 feet
Means dimension of original deck would be = 2 feet and 8 feet :Answer
Hope it will help :)
Answer:
s=5
Step-by-step explanation:
6s-4=16+2s
6s=20+2s
4s=20
s=5