Consider a sequence so that an = the entries a1, a2, ..., a1000 are exactly 1 1 3' 3'4 except in a different order. Show that 1 -1,2' 2² n=1 (-1)" n 1 1000 an = Σ n=1 for n 1000, and so that (−1)n n

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Q: 4. Give a recursive definition of the sequence an if an = n(n+1), where n = 1, 2, 3, ... %3D

A: We have to give a recursive definition of the sequence an where an=  n(n+1) for n= 1,2,3,....

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A: Concept used :- we use mathematical induction to solve the given question.

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Q: Consider a sequence so that h≥ 1000, and are exactly - an= for so that the entries 9₁, 92000 91000…

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