The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.
<h3>What is the recursive rule?</h3>
A rule is defined such that its definition includes itself.
1.
The given sequence is
-2, -6, -18, -54
Common ratio ;
r = -6 / -2 = 3

This given formula is the explicit formula.
2.
The given sequence is
4, 8, 16, 32
Common ratio ;
r = 8 / 4 = 2

This given formula is the recursive formula.
Learn more about the recursive rule and explicit rules here:
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Answer:
A
Step-by-step explanation:
covert to slope intercept form
x-y=2
-y=-x+2
y=x-2
One could be |x|<-2
This could be one since no matter what you put in for x, it will always be positive.
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form: 3x^2 + 7x - 1.
The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or
7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots
An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.
Hope this made sense.