Prove that each conjectured closed form is correct

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Reference no: EM131585361

Question: For each of the following recurrence relations, write out the first several terms of the sequence (at least five) and use this to find a closed form for the sequence. Then prove that each conjectured closed form is correct. (Is there a flashing sign in your head that indicates a fruitful approach?)

(a) a1 = 3; an = 2an - 1

(b) a1 = 4; an = 4 + an - 1

(c) a1 = 1; an = 4 + an - 1

Reference no: EM131585361

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