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Lesson 8
Infinite Series
This is a series with infinity number of terms. NB. If one added infinity number of terms of an arithmetic series, the sum becomes a very large positive number which increases as more and more terms are added e.g. 2 + 4 + 6 + 8 + 10 +…….. Since the sum of terms increases towards a very large positive hence the sum to infinity does not exist. We call that series a Divergent series. NB. An infinity geometric series converges under certain circumstances. Consider the following cases.