The purpose of this task is to solidify and extend the idea that geometric sequences have a constant ratio between consecutive terms to include sequences that are decreasing (0 < r < 1). The common ratio in one geometric sequence is a whole number and in the other sequence it is a percent. This task contains an opportunity to compare the growth of arithmetic and geometric sequences. This task also provides practice in writing and using formulas for arithmetic sequences.
Standards for Mathematical Practice
SMP7 – Look for and make use of structure.
SMP6 – Attend to precision.