Answer:
f(2)=5
f(5)=33
Step-by-step explanation:
The given formula, that recursively defines the sequence is

When n=1, we obtain;

When n=2, we get:

When n=3,

When n=4

When n=5,

Answer:
Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Step-by-step explanation:
Triangular Proportionality Theorem states that:
- If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.
Let us consider the triangle ΔABC as shown in attached figure.
If
║
then

Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Keywords: Triangle Proportionality Theorem, triangle, line segment
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Answer:
12
Step-by-step explanation:
Parenthesis first:
5-4+1
5-4=1+1=2
18÷3×2
Divide:
18÷3×2
Multiply:
6×2=12
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (5, 4)
m =
=
= 
<span>Z $ xy then Z = Kxy. When x = 2 and y = 3, and Z = 60, our constant of variation becomes
60 = K * 2 * 3
K = 10. Our constant of proportionality equals 10. We would need that in the second part of the equation.
When x = 4 and y = 9, we have
Z = 10 * 4 * 9 = 360</span>