For the graffiti cat sweater, Dodd knit 12 stitches to make 2 inches in width. The sweater is 9 inches wide from the left edge to the beginning of the black smile. How many stitches wide is that?

  54 stitches

Step-by-step explanation:

Dodd's knitting is (12 stitches)/(2 inches) = 6 stitches per inch. Then in a width of 9 inches, there will be ...

  (9 inches)(6 stitches/inch) = 54 stitches

, 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

i get you, what you should do is think of the positive things that would come out of it. it will make yours parents proud and raise your grade. you should always try and if you can't focus tell the teacher.