Which is the iterative rule for the sequence 3, 8, 13, 18, 23, . . ?

a. 3n + 2
b. 5n - 2
c. 5n + 3
d. an = an - 1 + 5

B) 5n – 2

Step-by-step explanation:

Given: 3, 8, 13, 18, 23, ....

For the nth term,

Hence the iterative rule for the sequence 3, 8, 13, 18, 23, ... is 5n – 2.

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