Answer:yeet
Step-by-step explanation:
Yeet
Your sequence appears to be geometric with a common ratio of 2. It can be described by
a(n) = (-2 2/3)·2^(n-1)
_____
This can be written in a number of other forms, including
a(n) = (-8/3)·2^(n-1)
a(n) = (-1/3)·2^(n+2)
a(n) = (-4/3)·2^n
See below for the proof of the equation
<h3>How to prove the equation?</h3>
The equation is given as:

Take the LCM

Expand

Evaluate the like terms

Rewrite as:

Factorize the numerator

Divide
2(a - b)= 2(a - b)
Both sides are equal
Hence, the equation
has been proved
Read more about equations at:
brainly.com/question/2972832
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To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.