Write an explicit formula for a n the nth term of of the sequence 5,15,25

an = 10n - 5

Step-by-step explanation:

Write an explicit formula for a n the nth term of of the sequence 5,15,25

An explicit formula for the above question is;

an = a+ (n - 1)d

Where

a = First term

d = Common Difference

n = nth term

We are given the sequence below:

5,15,25

The first term a = 5

Common Difference = 15 - 5 = 10

To find the nth term = an

an = a+ (n - 1)d

an = 5 + (n - 1)10

an = 5 + 10n - 10

an = 10n - 5

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

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743