Remark
What you have to do to learn the difference between recursive and explicit is try try the first 3 or 4 terms to see what you have and how you did it.
a1 = - 3
a2 = - 3 (1/8) = -3 / 8
a3 = (a2) (1/8)
a3 = (-3/8) * 1/8
a3 = (- 3/64)
a4 = a3 (1/8)
a4 = -3/64 * 1/8
a4 = - 3 / 512
Take a good look at a4. What do you notice? No matter what, you are always multiplying by 1/8. That means that A and D are both wrong which they would have you raising by 3 or - 3 to some power.
So which one of B and C is correct?
The answer is which ever one will not change sign from what it started out with. All four terms are minus.
In B the term is multiplied by plus 1/8. That will not change the sign of the next term.
So the answer is
a_n = - 3 * (1/8)^(n - 1) <<<<< answer
Answer:
120.
Step-by-step explanation:
Using the Pythagoras theorem:
(30√2)^2 = x^2 + x^2 where x =length of each side of the square
1800 = 2x^2
x^2 = 900
x = 30.
So the perimeter = 4*30 = 120.
9514 1404 393
Answer:
(x, y) = (-244/29, -80/29)
Step-by-step explanation:
A graph (2nd attachment) shows the solution to be non-integer values, so we'll use the "cross multiply method" to find the solution.
Rewriting the equations to general form gives ....
2x -9y -8 = 0
5x -8y +20 = 0
Writing the coefficients in two rows of four, we have the table as in the first attachment. (The first column is repeated as the 4th column.)
Now, the cross product differences are formed. Each "orange" cross product difference is the difference of the product of "blue" coefficients and the product of "yellow" coefficients. The same formula is copied to the right.
These difference numbers go, left to right, into the form ...
1/p1 = x/p2 = y/p3 . . . . . . where p1, p2, p3 are the cross product differences
In this problem, the solution is ...
x = -244/29 ≈ -8.414
y = -80/29 ≈ -2.759
The relative frequency is defined as the ratio between the times a certain event happened, and the total number of measurements.
So, you simply have to sum all the occurrences of even numbers, and divide by the total number of spinnings.
You have
