Write a recursive rule and an explicit rule for the arithmetic sequence 19,9,-1,-

the formula is an =a1+d(n-1)

where a1 is the first terms

d is the common difference

a1= 19

d 1= 9-19 = -10

check: -1-9 = -10  the sequence goes down by 10

n  is the term number

an = 19 - 10(n-1)

we can distribute

an = 19 -10n +10

an = 29-10n

Check our work:

a4 = 29 - 10*4

    = 29 - 40

  = -11

the 4th term is -11 which 19,9,-1,-11,...  shows, so  we are good

an = 19 - 10(n-1)  or an = 29-10n

well my understanding of this question is they want you to use the y=14.1x -2.3 and put the coordinates they gave you onto the line segment of   y=14.1x -2.3

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet