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Alternating series

Noun

Definitions

1.NounAn infinite series in the form of ∑ n = 0 ∞ ( − 1 ) n a n {\displaystyle \sum _{n=0}^{\infty }(-1)^{n}a_{n}} or ∑ n = 0 ∞ ( − 1 ) n + 1 a n {\displaystyle \sum _{n=0}^{\infty }(-1)^{n+1}a_{n}} , where 0}"> a n > 0 {\displaystyle a_{n}>0} 0}"> for all n {\displaystyle n} .
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