Sequences and Series
Interactive practice questions
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
A
the common ratio must be negative
B
the common ratio must be less than $1$1
C
the common ratio must be greater than $1$1
D
the absolute value of the common ratio must be greater than $1$1
E
Easy
< 1min
Consider the infinite geometric sequence $11$11, $22$22, $44$44, $88$88, $\text{. . .}$. . .
Easy
< 1min
Consider the infinite geometric sequence $3$3, $-12$−12, $48$48, $-192$−192, $\text{. . .}$. . .
Easy
< 1min
Consider the infinite geometric sequence $-40$−40, $-20$−20, $-10$−10, $-5$−5, $\text{. . .}$. . .
Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account