Three sequences are defined as follows: a₀= 1 and an+1 = bn+cn b₀ = 2 and bn+1 = an + Cn, c₀= 3 and Cn+1 = an + bn. (a) Use a

Question

Three sequences are defined as follows:
a₀= 1 and an+1 = bn+cn
b₀ = 2 and bn+1 = an + Cn,
c₀= 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.

Kunduz · Accepted Answer

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