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.

answer: the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

step-by-step explanation:

the given rate of interest i= 85%

in calculating the monthly payment for a loan with an interest rate compounded monthly, the value of the interest rate per period we use in the formula must be in decimal form.

to convert it in decimal, we divide it by 100, we get

hence, the value should be used for i in the formula of calculation the monthly payment , the interest rate per period is 0.85.

yes

step-by-step explanation: