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Consider the sequence given by a1 1 an an-1 2n- 3 can a

Question: Consider the sequence given by a₁ = 1, a_n = a_n-1 +(2n- 3). Can a technique from this chapter be used to find a closed form? Write out the first several terms of the sequence. Can you intuit a closed form based on the terms of the sequence? (Hint: ) Find a closed form for this recurrence and use induction to prove that the closed form is correct.

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