Select the correct answer.
Use the given formula to find the sum of a series.
0,(1 - )
Sn =
Stella is setting aside increasing amounts of money each month to save for a new laptop. In the first month, Stella sets aside $5. In the
second month, she sets aside $10, and in the third month, she sets aside $20.
If the pattern above continues, what is the total amount of money Stella will have saved after 6 months?
o
$256
$315
$155
$160

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

(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.