Chapter 8.3, Problem 120E

To determine

To write: a brief paragraph explaining why the terms of a geometric sequence decreases in magnitude when $-1<r<1$ .

Explanation of Solution

As the exponent $n$ increases , $r^n$ will decreases because when the number is less than 1, its subsequent exponents will always less than the previous one, therefore the terms of a geometric sequence decreases in magnitude when $-1<r<1$