The series 2 + 8 + 32 +..... is divergent
The sequence is given as:
2 + 8 + 32,...
The above sequence has the following parameters
First term, a = 2
Common ratio, r = 4
As a general rule:
If the common ratio of a geometric series is between -1 and +1, then the series is convergent.
Otherwise, it is divergent
The above means that the series is divergent
This is so because the common ratio is outside the range -1 to +1
Hence, the series 2 + 8 + 32 +..... is divergent
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