Which formula can be used to describe the sequence? Negative two-thirds, −4, −24, −144,... f(x) = 6(negative two-thirds) Superscript x minus 1 f(x) = −6(Two-thirds) Superscript x minus 1 f(x) = Negative two-thirds(6)x − 1 f(x) = Two-thirds(−6)x − 1

ƒ(x) = -⅔(6)ˣ⁻¹

Step-by-step explanation:

Your geometric series  is

-⅔, -4, -24, -144 …

The formula for the nth term of a geometric series is

aₙ = a₁rⁿ⁻¹

1. Calculate the common ratio (r)

The common ratio is 6.

2. Write the formula for the series

The formula for the nth term is

aₙ = -⅔(6)ⁿ⁻¹ or  

ƒ(x) = -⅔(6)ˣ⁻¹

Check:

a₁ = -⅔(6)⁰ = -⅔ ×    1 = -      ⅔

a₂ = -⅔(6)¹ = -⅔ ×    6 = -    4

a₃ = -⅔(6)² = -⅔ ×  36 = - 24

a₄ = -⅔(6)³ = -⅔ × 216 = -144

It checks.

he spend 5.1 minutes chatting with his friends

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5 1/10

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers