Write the first five terms of a pattern that begins with 5 and adds 5

5, 10, 15, 20, 25

Step-by-step explanation:

If you begin the pattern with 5 the first number will be 5. Adding 5 after this each time will you get you 10, 15, 20, and 25.

(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.

b and c are the correct answers.

good luck on the quiz! : d