Solving arithmetic sequence12/16/2023 ![]() ![]() 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 This simple calculator will work out the lengths of the sides and the size of the angles of any triangle given thee particular pieces of information. Transum breaking news is available on Twitter and if that's not enough there is also a Transum Facebook page. 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. Thank you for being so creative and imaginative."Įach month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month. "This resource has made a great deal of difference to the standard of starters for all of our lessons. All in all your resources provoked discussion and the students had a lot of fun."Ĭomment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology: We also had a lot of fun with the fun maths. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. "I would like to thank you for the excellent resources which I used every day. AreĬomment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait: The people who enjoy how mystifying, puzzling and hard it is. At the end of the first year you will have a total of: \ With simple interest, the key assumption is that you withdraw the interest from the bank as soon as it is paid and deposit it into a separate bank account.Mathematicians are not the people who find Maths easy they are You are paid $15\%$ interest on your deposit at the end of each year (per annum). We refer to $£A$ as the principal balance. Simple and Compound Interest Simple Interest For example, \ so the sequence is neither arithmetic nor geometric. A series does not have to be the sum of all the terms in a sequence. The starting index is written underneath and the final index above, and the sequence to be summed is written on the right. We call the sum of the terms in a sequence a series. ![]() The Summation Operator, $\sum$, is used to denote the sum of a sequence. If the dots have nothing after them, the sequence is infinite. If the dots are followed by a final number, the sequence is finite. Note: The 'three dots' notation stands in for missing terms. is a finite sequence whose end value is $19$.Īn infinite sequence is a sequence in which the terms go on forever, for example $2, 5, 8, \dotso$. For example, $1, 3, 5, 7, 9$ is a sequence of odd numbers.Ī finite sequence is a sequence which ends. Contents Toggle Main Menu 1 Sequences 2 The Summation Operator 3 Rules of the Summation Operator 3.1 Constant Rule 3.2 Constant Multiple Rule 3.3 The Sum of Sequences Rule 3.4 Worked Examples 4 Arithmetic sequence 4.1 Worked Examples 5 Geometric Sequence 6 A Special Case of the Geometric Progression 6.1 Worked Examples 7 Arithmetic or Geometric? 7.1 Arithmetic? 7.2 Geometric? 8 Simple and Compound Interest 8.1 Simple Interest 8.2 Compound Interest 8.3 Worked Examples 9 Video Examples 10 Test Yourself 11 External Resources SequencesĪ sequence is a list of numbers which are written in a particular order. ![]()
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