Does the infinite geometric series diverge or converge? Explain. + ... (1 point)

Responses
It diverges; it has a sum.
It diverges; it does not have a sum.
It converges; it has a sum.
It converges; it does not have a sum.

1 answer

It depends on the value of the common ratio in the infinite geometric series. If the common ratio is between -1 and 1, the series will converge and have a sum. If the common ratio is greater than 1 or less than -1, the series will diverge and not have a sum.
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