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 Use mathematical induction to show that j=0n(j+1)=(n+1)(n+2)/2 whenever n is a nonnegative integer. \text { Use mathematical induction to show that } \sum _ { j = 0 } ^ { n } ( j + 1 ) = ( n + 1 ) ( n + 2 ) / 2 \text { whenever } n \text { is a nonnegative integer. }

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