Sequences and Series

Hong Kong

Stage 4 - Stage 5

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