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Maybe you can youse this guy's notes. Please come with a final answer. Thank you! Write the following sequence using the sum formula (I think

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Maybe you can youse this guy's notes. Please come with a final answer. Thank you!

Write the following sequence using the sum formula (I think it means sigma notation) an = { 5 if n = 2; an-1 + n(n!) if n > 2} Thank you! Expert Answer o Anonymous answered this 148 answers Was this answer helpful? an = 5, n = 2 = an-1 + n(n!) Based on observation An = 5+ (!) i=3 a2 = 5 a3 = 5+3(3) = 6 -1+3(3) = 3!(1+3) 1 = 4! 1 04 = 5+3(39) +4(4!) = 4! 1+4(4!) = 4!(4+1) -1 = 5! 1 Assume that, an = (n + 1)!-1 is true for some n, thenan+1 = an + n(n!) = (n + 1)!-1+ (n + 1)((n + 1)!) = (n +1+1)! 1 By mathematical inductionan = (n + 1)! 1, n > 2 View comments (9) >

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