Which function represents the sequence? A. f(n) =n+3 B. f(n)=7n-4 C. f(n)=3n+7 D. f(n)=n+7​

f( n ) = 7 n - 4

Step-by-step explanation:

Terms : 3,10 , 17, 24, 31

Means this   =   = 3

The differences:

d = 10-3=7

our term of the sequence =

f( n ) = 7 n - 4

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.