C2 sequences and series answers worksheet a 1 a r 3 b r 1 4 c r. However, it is not always possible to nd the limit of a sequence by using the denition, or the limit rules. Solutions to the exercises in this booklet are available at the website. Since then, ive recorded tons of videos and written out cheatsheet. The case of decreasing sequences is left to exercise.
Determine whether the following sequences are increasing, decreasing or not monotonic. Classify each sequence as arithmetic, geometric, or neither. Determine what type of sequence the following are and then complete the problem. A monotonic sequence which is bounded is convergent. The corbettmaths practice questions on the nth term for linear sequences. Sequences nth term practice questions corbettmaths. Given a term in an arithmetic sequence and the common difference find the recursive formula and the three terms in the sequence after the last one given. Math 3283w worksheet 14 answers thursday, march 29, 2018. Arithmetic sequences date period kuta software llc. Do view the excellent lessons and bundle on sequences at the link below.
Real numbers and monotone sequences mit mathematics. For the purposes of calculus, a sequence is simply a list of numbers x1,x2,x3. If the sequence is monotonic, then you can use your conclusion about. Thenumbera n iscalledthegeneralterm ofthesequencea nnthterm. We will prove the theorem for increasing sequences. Igcse mathematics sequences worksheet teaching resources. Here come some examples of bounded, monotone sequences and their limits. Fundamentals of mathematics i sequences worksheet answers a. Igcse cambridge secondary checkpoint mathematics topic. Sequences nth term rule exam questions with answers these are exam questions on sequences. These are great for classwork, homework or revision.
As far as the definition of limits is concerned, the answer is no. Sequences and their limits mathematics university of waterloo. Worksheets with answers whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Feel free to browse the outstanding resources shop for more excellent free and premium resources.
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