Eloise contracts to work for 10 days, receiving $0.03 the first day, $0.09 the second day, $0.27 the third day, and so on, with each day's pay triple that of the previous day. How much will she earn on the last day of the
Contract?
A) $1771.47
B) $590.49
C) $15.36
D) $196.83

Question

Quizplus · Accepted Answer

Eloise's earnings follow a geometric sequence where each term is triple the previous one. The first day's pay is $0.03, and the ratio (r) is 3. The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{(n-1)}$. For the 10th day, $a_{10} = 0.03 \cdot 3^{(10-1)} = 0.03 \cdot 3^9 = 0.03 \cdot 19683 = $590.49$.

Eloise Contracts to Work for 10 Days, Receiving $0