Calculate the first six terms of each of the following sequences {a n } and draw a

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Calculate the first six terms of each of the following sequences {an} and draw a graph of an against 1.
(Some care is needed in choosing the scale of the y axis.) What is the behaviour of an as n → ∞?

(a) an = (b) a = 'n n n + 1 3n + 2n + 1 6n + 5n+ 2 1+ (c) a, (2n) (n  1) (d) an (e) a = (1 + a_1), a = 1

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