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

Answer:
40 ounces of coffee
Step-by-step explanation:
we know that
To make caffe mocha, LaVelle uses one ounce of chocolate syrup,and five ounces of coffee
so
To make 6 ounces of caffe mocha (one ounce of chocolate syrup plus 5 ounces of coffe), LaVelle uses one ounce of chocolate syrup,and five ounces of coffee
using proportion
Find out how many ounces of coffee does she need to make 48 ounces of caffe mocha
Let
x ---> ounces of coffee needed to make 48 ounces of caffe mocha

Answer:
$45 dinner = $9
$1 dinner = 45/9= 5
$60 dinner = 60/5=12
Hence he got $12 for a $60 dinner
Answer:
Yes
Step-by-step explanation:
The points will be on the same line if they have the same slope. Calculate the slope of each pair. If the slopes are the same, then they lie on the same line.



The slope is the same.