Find the sixth term of the geometric sequence 9, -27, 81,
a6

-3

Step-by-step explanation:

9*x= -27

x=-3

The sixth term of the sequence = -234

Step-by-step explanation:

The formula of a geometric sequence is:

aₙ = a₁ + r⁽ⁿ⁻¹⁾

Where;

aₙ = the term value

n = the term that has to be found out

a₁ = first term in the sequence

r = common ration

Here in this situation:

aₙ = unknown

n = 6

a₁ = 9

r = -3

Therefore the solution would be:

a₆ = 9 + (-3)⁶⁻¹

a₆ = 9 + (-3)⁵

a₆ = 9 + (-243)

a₆ = -234

Therefore the sixth term of the sequence would be: -234

Hope this helps!

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 largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.