A convergent sequence is a sequence of numbers that approaches a specific value as the terms go to infinity.
Imagine you are driving on a long straight road. As you keep driving, you notice that the distance between your car and a specific landmark keeps getting smaller and smaller until eventually, you reach the landmark.
Divergent Sequence: A divergent sequence is a sequence of numbers that does not approach any specific value as the terms go to infinity.
Limit: The limit of a sequence is the value that it approaches as the terms go to infinity.
Series: A series is the sum of all the terms in a sequence.
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