Question: The sequence {} is defined recursively by: =20,=20+ for =1,2,3,.(a) Show by Induction that 45 for =1,2,3,.(c) Find lim .[Hint: You may use without proof

The sequence {} is defined recursively by: =20,=20+ for =1,2,3,.(a) Show by Induction that 45 for =1,2,3,.(c) Find lim .[Hint: You may use without proof that monotonic increasing sequence which is bounded above converges.](b) Show that {} is monotonic increasing.

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