Type the correct answer in each box. For three consecutive years. Sam invested some money at the start of the year. The first year, he invested x dollars. The second year, he invested
$2.000 less than 2 times the amount he invested the first year. The third year, he invested $1,000 more than 5 of the amount he invested the
first year
During the same three years. Sally also invested some money at the start of every year. The first year, she invested $1,000 less than 2 times the
amount Sam invested the first year. The second year, she invested $1,500 less than 2 times the amount Sam invested the first year. The third
year, she invested $1,400 more than of the amount Sam invested the first year.
if Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is $
amount Sally invested the last year is $

thus, the first answer choice, y = sec x, is the correct one

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(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.