Find the first 5 terms of 6n+2

2, 8, 14, 20, 26

Step-by-step explanation:

At n=0

2 x 0 +2=2

At n=1

6 x 1 +2=8

At n=2

6 x 2 +2 = 14

At n=3

6 x 3 +2 = 20

At n=4

6 x 4 +2 = 26

(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.