State whether the statement “An infinite geometric series that has a sum is called a convergent series “is true or false.
Answer to Problem 1SGR
True statement
Explanation of Solution
Given:
An infinite geometric series that has a sum is called a convergent series.
Concept Used:
There is a simple test for determining whether a geometric series converges or diverges; if -1
If r lies outside this interval, then the infinite series will diverge. Test for convergence. If r <-1 or r > 1, then the infinite geometric series diverges.
This is true statement.
Thus, this is true statement.
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