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Three sequences are defined as follows:a?= 1 and an+1 = bn+cnb? = 2 and bn+1...

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Algebra

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Three sequences are defined as follows:a?= 1 and an+1 = bn+cnb? = 2 and bn+1 = an + Cn,c?= 3 and Cn+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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