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Lunna [17]
4 years ago
11

Does the following infinite geometric series diverge or converge? Explain. 1/5+1/25+1/125+1/625

Mathematics
2 answers:
BaLLatris [955]4 years ago
5 0
The given data contains points which are 1/5, 1/25, 1/125, and 1/625. From these we are able to conclude that the given is a geometric sequence with r equal to 1/5 and the first term is equal to 1/5. The sum of these term can be computed as,
                          S = a1/(1 - r)
Solving,
                          S = ((1/5)/(1 - 1/5) = 1/4
Thus, the sequence is convergent because the sum is a finite number. 
Naddika [18.5K]4 years ago
4 0

The answer is <u>It converges; it has a sum </u>

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