At this rate, how many dresses does lucy sew in one hour?

Lucy sews of a dress in one hour.

Step-by-step explanation:

The complete question is:

"Lucy is a dress maker. She sew of a dress in hour. At this rate, how many dresses does Lucy sew in one hour?"

Let "x" represents the number of dresses that Lucy sews in one hour.

You need to analize the information given in the exercise.

According to the exercise, you know that, in hour, Lucy sews of a dress.

Then, knowing this data, you can set up the following proportion:

Therefore, you must solve for "x" in order to find the he number of dresses that Lucy sew in one hour.

You get this result:

Then, Lucy sews of a dress in one hour.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

a 90 degree rotation across the the origin followed by a reflection across the x-axis.

step-by-step explanation: