Write Following Sequence Using Sum Formula Think Means Sigma Notation 5 N 2 1 N N N 2 Than Q43901176
Maybe you can youse this guy’s notes. Please come with a finalanswer. 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) > Show transcribed image text 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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Answer to Write the following sequence using the sum formula (I think it means sigma notation) an = { 5 if n = 2; an-1 + n(n!) if …
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