What condition must be satisfied by an infinite geometric series in order for its sum to exist?
the absolute value of the common ratio must be less than $1$1
the common ratio must be negative
the common ratio must be less than $1$1
the common ratio must be greater than $1$1
the absolute value of the common ratio must be greater than $1$1
Consider the infinite geometric sequence: $2$2, $\frac{1}{2}$12, $\frac{1}{8}$18, $\frac{1}{32}$132, $\ldots$…
Consider the infinite geometric sequence: $125$125, $25$25, $5$5, $1$1, $\ldots$…
Consider the infinite geometric sequence: $16$16, $-8$−8, $4$4, $-2$−2, $\ldots$…