Arithmetic SequenceĪn arithmetic sequence is a number sequence in which the difference between each successive term remains constant. Indexing involves writing a general formula that allows the determination of the n th term of a sequence as a function of n. In cases that have more complex patterns, indexing is usually the preferred notation. There are multiple ways to denote sequences, one of which involves simply listing the sequence in cases where the pattern of the sequence is easily discernible. They are particularly useful as a basis for series (essentially describe an operation of adding infinite quantities to a starting quantity), which are generally used in differential equations and the area of mathematics referred to as analysis. Sequences are used to study functions, spaces, and other mathematical structures. A series is convergent if the sequence converges to some limit, while a sequence that does not converge is divergent. Sequences have many applications in various mathematical disciplines due to their properties of convergence. There are many different types of number sequences, three of the most common of which include arithmetic sequences, geometric sequences, and Fibonacci sequences. In a number sequence, the order of the sequence is important, and depending on the sequence, it is possible for the same terms to appear multiple times. The individual elements in a sequence is often referred to as term, and the number of terms in a sequence is called its length, which can be infinite. Accordingly, a number sequence is an ordered list of numbers that follow a particular pattern. In mathematics, a sequence is an ordered list of objects. It may be worth remembering that if should go offline for whatever reason, there are mirror sites at and that contain most of the resources that are available here on : 1, 3, 5, 7, 9 11, 13. The short URL, ready to be copied and pasted, is as follows:Īlternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes. If you found this activity useful don't forget to record it in your scheme of work or learning management system. NavigateĮxercises, puzzles and Maths lesson starters grouped by topic. The topic you are studying at school at the moment perhaps. Maths MapĪre you looking for something specific? An exercise to supplement Page is an alphabetical list of free activities designed for One way toĪddress the problem is through the use of interactive activities and Traditional teaching fails to actively involve students. Learning and understanding Mathematics, at every level, requires Lesson Finishers then sign up for a subscription now: Newsletter, unlock the printable worksheets and see our Maths To the thousands of Transum resources, receive our monthly If you would like to enjoy ad-free access Have access to reports of the Transum Trophies earned by class Plans and assessment data in the Class Admin application and Subscribers can manage class lists, lesson Transum Topic pages and the facility to add to the collection The teacher with access to quality external links on each of the To the online exercises, quizzes and puzzles. Logged in to their Transum subscription on this computer.Ī Transum subscription unlocks the answers They are available in this space to teachers, tutors and parents Fun for one, two or a whole class of pupils. Transum breaking news is available on Twitter and if that's not enough there is also a Transum Facebook page.Ī mathematical version of the popular Connect 4 game based on getting four numbers with a common factor in a line. You can listen to the podcast while you are commuting, exercising or relaxing. The newsletter is then duplicated as a podcast which is available on the major delivery networks. "We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."Įach month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month. A great resource - thanks a million."Ĭomment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School: "My year five children look forward to their daily challenge and enjoy the problems as much as I do. AreĬomment recorded on the 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich: The people who enjoy how mystifying, puzzling and hard it is. Mathematicians are not the people who find Maths easy they are
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