Question: Three sequences are defined as follows: ao = 1 and an+1 = bn + Cn bo = 2 and bn+1an + Cn Co 3

Three sequences are defined as follows: ao = 1 and an+1 =

Three sequences are defined as follows: ao = 1 and an+1 = bn + Cn bo = 2 and bn+1an + Cn Co 3 and C+1 = an + bn. = (a) Use a spreadsheet to find the values of an, bn and cn as far as n = 10. (b) Find a general formula for the sum an + bn + Cn. (c) Determine the least value of n for which an +bn+cn exceeds 100 000.

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