Answer:
Recursive formula is: 
Explicit formula is: 
Step-by-step explanation:
We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27
In the given sequence First term a₁= -1
Common difference d = 7
Finding Recursive Formula
The recursive formula is of type:
and 
Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:
Finding Explicit Formula
The explicit formula is of type: 
We have
First term a₁= -1
Common difference d = 7
So, explicit formula will be:
So, explicit formula is:
Answer:
12.63
Step-by-step explanation:
In this question, you're solving for n.
Solve for n:
5(1 - 5n) = -4n+5
<em>Use the distributive property</em>
5 - 25n = -4n + 5
<em>Add 25n to both sides</em>
5 = 21n + 5
<em>Subtract 5 from both sides</em>
0 = 21n
<em>Divide both sides by 21</em>
n = 0
Answer:
n = 0
Answer:
x^2 +y^2 -40x -24y -81 =0
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
Assuming that Pamela's cabin is the center
( x-20)^2 + (y- 12)^2 = 25^2
We want to get to general form
x^2 + y^2 + Dx + Ey + F = 0,
Distributing
x^2 -40x +400 + y^2 -24y +144 = 625
x^2 +y^2 -40x -24y +544 -625 =0
x^2 +y^2 -40x -24y -81 =0
A secant is a line that intersects a circle at two points.
