Let an 1 nn1 compute a1 a1 a2 a1 a2 a3 a1 a2 a3 a4 then
Let an = 1 n(n+1) : Compute a1; a1 +a2; a1 +a2 +a3; a1 +a2 +a3 +a4. Then guess a1+a2+ +an for any natural number n. Use both mathematical induction and direct approach to verify your guess.
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let an 1 nn1 compute a1 a1 a2 a1 a2 a3 a1 a2 a3 a4 then guess a1a2 an for any natural number n use both mathematical
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