Find the sum of the geometric series ∞Σ(n=1) [(−2)^(n−1)]/(5^n), or show that it is divergent.?

2016-03-28 5:19 am

回答 (1)

2016-03-28 7:36 am
✔ 最佳答案
Sol
S=2^0/5^1-2^1/5^2+2^2/5^4-2^3/5^4+…...
-2S/5=2^1/5^2-2^2/5^3+2^3/5^4-………..
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3S/5=2^0/5^1
3S/5=1/5
S=1/3


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