Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. 12 plus StartFraction 12 squared Over 2 EndFraction plus StartFraction 12 cubed Over 3 EndFraction plus midline ellipsis plus StartFraction 12 Superscript n Over n EndFraction12+ 122 2+ 123 3+⋯+ 12n n The summation starts at iequals=1. What is the upper limit of summation and the general term?

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

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

the answer is (-4,-4)

hope this ! : d