Answer:
D. A formula
Step-by-step explanation:
If you look at an example of a theorem, let's try Pythagorean Theorem, you can see it is a formula used to find an angle of a triangle, especially a hypotenuse.
P=26=2*(l+L)
⇒ l+L=26:2=13 feet
l=3, L=10
A=l*L=30=10*3
⇒ l=3 feet
L=10 feet
Ok so you need to multiply the length, width, and height together for each one.
Bill: 8 x 20 x 6 = 960
Martin: 4 x 15 x 16 = 960
So Bill is right, they both have the same volume.
First we need to determine the type of progression in the question.That's geometric progression. Because the pattern from one sequence to the others are about multiplying.
Second, determine the ratio of the progressionr = a₂/a₁
r = a₂ ÷ a₁
r = 1/2 ÷ 2
r = 1/2 × 1/2
r = 1/4
Third, determine the formula to know the recursive rulea₂ = a × 1/4
a₂ = 1/4 × a
Fourth, determine a₁. a₁ is the first term of the progressiona₁ = 2
Final answer:Recursive rule

a₁ = 2
Infinite, multiply it by any number divided by itself.
Ex. 1/2*2/2= 2/4
1/2*4/4=4/8 etc.