This is a factorial sequence that can be modeled by An = n!. As you may see, the increasing numbers are factorials of 1,2,3,4, and 5. Factorial means multiplying backwards and is represented by !. For example, 1! is 1*1 =1. 2! is 2*1, 3! is 3*2*1, 4! is 4*3*2*1 etc.
Divide the figure into 4 parts: a triangle, rectangle, rectangle, and triangle.
Area of triangle: 1/2(base · height)
Area of rectangle: (length · width)
Solve for the 2 triangles:
Triangle #1: 1/2(6 · 8)
1/2(48) = 24 units²
Triangle #2: 1/2(3 · 8)
1/2(24) = 12 units²
Solve for the 2 rectangles:
Rectangle #1: (3 · 8) = 24 units²
Rectangle #2: (9 · 8) = 72 units²
Add up all the measurements.
24 + 12 + 24 + 72 = 132 units²
The area of the figure is 132 units².
1. 35, 5, 5/7
2. a=4/9
3. Both C and D are correct. a5=6. And a7=96.
4. Yes it is geometric. r=4.
Answer: 
<u>Step-by-step explanation:</u>
