Question

The following statement is false. Rewrite the statement to make it true.

All geometric series converge.

Answer 1

we know that

any geometric series converges when their common ratio is less than 1

Suppose,

common ratio is r

so, for convergence

$|r|<1$

so, we can write true statement as

All geometric series with common ratio $|r|<1$ always converge.......Answer