Explore the Lesson
Completion requirements
What did you find in the Warm Up? Did the daughter make a wise decision? Writing out the first 12 terms of the sequence, you will likely come to the conclusion that she did not make a wise decision.
\($0.01, $0.02, $0.04, $0.08, $0.16, $0.32, $0.64, $1.28, $2.56, $5.12, $10.24, $20.48, …\)
Just imagine how much she would have earned on the \(32\)nd or \(64\)th day! In Lesson 1.3, you are going to derive a formula (as you did for arithmetic sequences) that will help you to quickly solve problems involving geometric sequences.
\($0.01, $0.02, $0.04, $0.08, $0.16, $0.32, $0.64, $1.28, $2.56, $5.12, $10.24, $20.48, …\)
Just imagine how much she would have earned on the \(32\)nd or \(64\)th day! In Lesson 1.3, you are going to derive a formula (as you did for arithmetic sequences) that will help you to quickly solve problems involving geometric sequences.