Math: Middle School: Grades 6, 7 and 8 Quiz - Algebra - Sequences (Answers)
This Math quiz is called 'Algebra - Sequences' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.
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This Math quiz looks at lists of numbers which follow a clear pattern e.g. 1, 3, 5, 7 being the first four odd numbers. It will help you to practice finding numbers in patterns and ways of describing how the patterns are formed.
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Terms in a sequence are often labeled Tn where n indicates the position of the term in the sequence: for the 1st term, n = 1, for the 2nd n = 2 etc
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Each number is 4 less than the previous number. If asked to give the rule we might say 'Take 4 from the previous number'
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The rule is that we add 3 to the previous number
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This sequence is called the Fibonacci sequence. The rule is that we add together the two previous numbers. Sometimes sequences are easy to spot and at other times they take a lot of thinking about!
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These are simply the counting numbers. The first term is 1; the second term is 2; the third term is 3 etc., so the nth term, Tn, is just n
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Try out each rule to find which fits. If Tn = 3n + 1, when n = 1 the 1st term is 3 x 1 + 1 = 4 but if Tn = n + 4, the 1st term is 1 + 4 = 5
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Use n = 6 to find the value of Tn
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