An exercise on linear sequences including finding an expression for the nth term and the sum of n terms.
This is level 1: find the next term of these linear sequences. You can earn a trophy if you get at least 7 questions correct and you do this activity online.
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Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:
"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."
Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:
"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"
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Matchsticks - A beginner's exercise that lets you see how a sequence is structured.
Level 1 - Find the next term of these linear sequences
Level 2 - Find the nth term of these linear sequences
Level 3 - Find a given term of these linear sequences
Level 4 - Mixed questions about linear sequences and their sums
Missing Terms - Find the missing terms of arithmetic, geometric and Fibonacci-type sequences in this self marking quiz.
Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.
Geometric Sequences - A similar exercise on geometric sequences.
More on this topic including lesson Starters, visual aids and investigations.
See the National Curriculum page for links to related online activities and resources.
Here is a reminder of some facts that may help you answering the questions in this exercise.
An arithmetic sequence, sometimes called an arithmetic progression, is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 8, 11, 14, 17, 20, 23, . . . is an arithmetic sequence with common difference of 3.
The first term of the sequence can be written as u1
The nth term of the sequence can be written as un
The common difference is usually written as d
The formula for finding the nth term is un=u1+(n-1)d
The formula for finding the sum of n terms is Sn=½n(2u1+(n-1)d)
The excellent video above is from Corbettmaths.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.