Hello!
The recursive rule for an arithmetic sequence: 
.
The explicit rule for an arithmetic sequence: 
.
is the value you are trying to find, or simply the answer. :)
is the common difference of the sequence.
is the first term of the sequence.
Given, 
and 
...
The common difference is -6, and the first term is 8.
Plug these values into the explicit rule for an arithmetic sequence, you get:
.
Therefore, the answer is A, 
.
If you wondered why, is equal to , the Commutative Property of Multiplication states that when two numbers are multiplied together, the answer is the same regardless of the order of the numbers, which makes and equal to each other.
the answer to your question is 333.333 dollars
It is better to graph these points, to easily understand that the distance of the two points form the hypotenuse of the right triangle. We need to use the Pythagorean theorem to solve for the distance of the two points.
a² + b² = c² ; a = x value ; b = y value
1) (3,8) and (-9,-8)
a = 3 - (-9) = 3 + 9 = 12 ⇒ 12² = 144
b = 8 - (-8) = 8 + 8 = 16 ⇒ 16² = 256 ⇒⇒ 144 + 256 = 400 ; c = √400 = 20
2) (2,6) and (5,2)
a = 2 - 5 = 3 ⇒ 3² = 9
b = 6 - 2 = 4 ⇒ 4² = 16 ⇒⇒ 9 + 16 = 25 ; c = √25 = 5
3) (21,16) and (9,11)
a = 21 - 9 = 12 ⇒ 12² = 144
b = 16 - 11 = 5 ⇒ 5² = 25 ⇒⇒ 144 + 25 = 169 ; c = √169 = 13
1= 1/8
2= 4/8
3= 2/8
Step-by-step explanation:
