Sequences and Series
Infinite sum for GP's
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
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