The sum of the first

6

66 terms of a geometric series is

15

,

624

15,62415, comma, 624 and the common ratio is

5

55.

What is the first term of the series?

The first term of the series is 4

Step-by-step explanation:

The sum of the first  6  terms of a geometric series is  15 , 624  and the common ratio is  5 .

To find the first term, we use the formula for the sum of terms in a geometric series.

Since the common ratio of the series is greater than 1, the sum of term of the geometric series is;

where r = common ratio

a = first term

When S = 15,624, r = 5 and n = 6, the first term, a, will be:

a = 4

The first term of the series is 4.

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

2425

step-by-step explanation: