Multiply 2 by 1/2 to get 1.
Multiply 1 by 2/3 to get 2/3.
Multiply 2/3 by 3/4 to get 6/12 = 1/2.
Multiply 1/2 by 4/5 to get 4/10 = 2/5.
Multiply 2/5 by 5/6 to get 10/30 = 1/3.
Multiply 1/3 by 6/7 to get 6/21 = 2/7. (I suspect there's a typo in the question.)
And so on, so that the <em>n</em>th term in the sequence is multiplied by <em>n</em>/(<em>n</em> + 1) to get the (<em>n</em> + 1)th term.
Recursively, the sequence is given by

We can solve this exactly by iterating:

and so on down to

or

and with lots of cancellation, we end up with

So what you would do is divide 12 by 3 which will get you for which means the total cost of 1 goldfish is $4
Answer:
The missing value y=12.5 and we have (5,12.5)
Step-by-step explanation:
The formula used for direct variation is:

We need to find missing value (2,5)(5,y)
First we will find k, and then y
We have x=2, y=5
Find k:

Now, we cam find missing value in (5,y)
We have x=5, k=2.5 and y=?

So, the missing value y=12.5 and we have (5,12.5)
Answer:
The equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given
now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation



Therefore, the equation of the line is:
Answer:
The slope is 4
Step-by-step explanation:
First we pick 2 points (x, y):
(0, -2) and (1, 2)
Then, we use the slope (m) formula:
m = (y2 - y1)/(x2 - x1)
Given:
y2 = 2
y1 = -2
x2 = 1
x1 = 0
Work:
m = (y2 - y1)/(x2 - x1)
m = (2 + 2)/(1 - 0)
m = 4/1
m = 4