Solve the problem.
-As Sunee improves her algebra skills, she takes 0.9 times as long to complete each homework assignment as she took to complete the preceeding assignment. If it took her 55 minutes to complete her first assignment, find
How long it took her to complete the fifth assignment. Find the total time she took to complete her first five
Homework assignments. (Round to the nearest minute.)
A) 32 min; 189 min
B) 36 min; 225 min
C) 32 min; 225 min
D) 36 min; 189 min

Question

Quizplus · Accepted Answer

The time taken for each assignment forms a geometric sequence with the first term as 55 and a common ratio of 0.9. The fifth term is 55 * (0.9)^4 ≈ 36 minutes. The sum of the first five terms is calculated using the formula for the sum of a geometric series: S_n = a(1-r^n)/(1-r), which gives approximately 225 minutes.

Solve the Problem. -As Sunee Improves Her Algebra Skills, She Takes 0.9 Times