if tn=n/(n+1)!  then Σ tn is equal to

(where summation is from n=1 to n=20)

Dear student
n=120tn=n=120nn+1!=n=120n+1-1n+1!=n=120n+1n+1!-1n+1!=n=120n+1(n+1)n!-1(n+1)!=n=1201n!-1n+1!=11-12!+12!-13!+....+119!-120!+120!-121!=1-121!1
Regards

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