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(1 point) Sequences: A sequence is of the form a1 , a2, a3 , a4 , ... where the a,, are real numbers. Technically, a
(1 point) Sequences: A sequence is of the form a1 , a2, a3 , a4 , ... where the a,, are real numbers. Technically, a sequence is a function whose domain is the set of natural numbers, and whose range is a subset of the real numbers. Sequences may be defined in various ways: By listing, and appealing (via the three dots) to your intuition. Suppose the sequence is 1 2 3 4 5 6 2' 5' 10'17' 26' 37" Then the n-th term is Explicitly. For example, suppose a,, = ,". Then a, = and a; = Recursively. For example, the Fibonacci Sequence is defined by a =0 =1, an+1 = an + an-1 . n = 2,3, 4. ... . Thus a3 . and as A sequence may or may not have a limit. For the following sequences, enter the limit, or enter the letter "D" if the sequence diverges. (24-1)(34-1)
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