Consider the idea of a geometric progression (GP).
MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions
Problem
Consider the idea of a geometric progression (GP).
(a) Define a geometric progression and write the symbolic expression for its general (nth) term.
(b) A GP has a positive common ratio greater than 1. Explain, without actual numerical calculation, why the sequence of its terms is strictly increasing.
(c) A GP has a negative common ratio. Describe the pattern of signs (positive or negative) that will appear in its terms and justify your answer with reasons based on the value of the common ratio.