iGCSE (2021 Edition)

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

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

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Use the condition for the convergence of a geometric progression, and the formula for the sum to infinity of a convergent geometric progression.