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Investigating a Sequence of Numbers.


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Investigating a Sequence of Numbers.

... Mathematics HL Portfolio Assignment Investigating a Sequence of Numbers [Type 1] In this Mathematics Portfolio, I am going to investigate a sequence of numbers by mathematical methods which I have learnt in the I.B. Mathematics HL course. Throughout the investigation, I will include all my workings in order to let examiners know exactly how I come up with the answers. A sequence is a set of numbers with a definite order. A series is a sum of a sequence. The sequence of numbers {an}?n =1 is: 1 x 1!, 2 x 2!, 3 x 3!, ... The two signs outside the bracket of an represent the range of the sequence. The bottom one is where the sequence begins and the one above is where it should end. Since it is stated the sequence starts from n = 1, therefore the first term, a1 = 1 x 1!, the second term, a2

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"An excellent piece of work. The writer attempts to find a solution to a tricky problem, which is to be commended. Work is set out very carefully, both tables and calculations are easy to read. The writer sets out his definitions at the start of the work, which is important to allow readers of all levels to understand. He follows sensible procedure to develop his ideas, trying examples and looking for patterns. The writer progresses towards a solution briskly, but without skipping vital steps. The solutions to the problems are stated in the conclusion, which is always good to see. All in all, this was a very impressive essay, one of the best I have read. Advanced content, covered in depth. TSR user: Edenr."
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