(10 points) You are given three sequences fan h, which satisfies ao n, an 0 for
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Question
(10 points) You are given three sequences fan h, which satisfies ao n, an 0 for all n EN and lim an w; n- 00 {bn), which satisfies 0 bn for all n EN and X b e; {cn which satisfies c 0 for all n E N and cn In 3 Below is a list of items, each of whic h is a sequence or a series. Determine whether or not each item converges or diverges, if possible. If an item converges then determine its value (sum) or limit, if possible If an item diverges. enter "D" as your answer. f an item converges and its value (sum) or limit is determined, enter its value (sum) or limit as your answer. If an item converges and its value (sum) or limit is not determined, enter "C" as your answer. f what is given does not suffice to determine whether or not the item converges then enter "l" as your answer.Explanation / Answer
A Sequence is an ordered list of numbers; thenumbers in this ordered list are called the elements or the terms of the sequence
Actually, the main differenc between a series and a sequence is that a series is the sum of the terms of a sequence. In a series, when mathematics talk of convergence they mean that the infinite sequence sums to a finite number.
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