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Question Number 95473 by aurpeyz last updated on 25/May/20

Answered by EmericGent last updated on 25/May/20

regroup every two terms  1- (1/2) = (1/2)  and then ∀n ∈ N∗  (1/n) − (1/(n+1)) = ((n+1−n)/(n(n+1))) = (1/(n(n+1)))  since n(n+1) is a non zero positive   integer, (1/(n(n+1))) is greater than 0  so your sum is just a sum of positive  terms, so it′s also positive

regroupeverytwoterms112=12andthennN1n1n+1=n+1nn(n+1)=1n(n+1)sincen(n+1)isanonzeropositiveinteger,1n(n+1)isgreaterthan0soyoursumisjustasumofpositiveterms,soitsalsopositive

Commented by aurpeyz last updated on 06/Jun/20

Please explain. i do not seem to understand. pla

Pleaseexplain.idonotseemtounderstand.pla

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