![]() ![]() ![]() In other words how close did we come? n = Sequence = 1st difference = 4 ÷ 2 = 2 Sequence has 2n2 2nd difference = 2n2 = Our sequence was off by -3. ![]() Main: nth term of a quadratic sequence The nth term of a quadratic sequence is always in the form an2 + bn + c How do we find this part of the formula?ġ3 2n2 - 3 Main: nth term of a quadratic sequenceįind the difference between these sequences. For example, all of the following are quadratic sequences: 3, 6, 10, 15, 21, 7, 17, 31, 49, 71, 31, 30, 27, 22, 15, Quadratic sequences are related to squared numbers because each sequence includes a squared number an 2. Which value do we use for ‘a’? 1, 4, 9, 16, 25 4, 10, 20, 34, 52 4, 13, 28, 49, 76 Can you find the next 2 terms?ġ2 The nth term of a quadratic sequence is always in the form A quadratic sequence has the general form T (n) an2 + bn + c. Main: nth term of a quadratic sequence Find the ‘second differences’. Main: nth term of a quadratic sequence The nth term of a quadratic sequence is always in the form an2 + bn + c Is found using the second differences and dividing by 2ġ1 Find the ‘second differences’. Main: nth term of a quadratic sequence The nth term of a quadratic sequence is always in the form an2 + bn + c Match the sequences on the other board to the correct ‘a’ valueġ0 The nth term of a quadratic sequence is always in the form Main: nth term of a quadratic sequence What is the general form of the equation for this type of sequence?ĩ The nth term of a quadratic sequence is always in the form Main: nth term of a quadratic sequence What could we call this type of sequence?Ĩ What is the general form of the equation for this type of sequence? Main: nth term of a quadratic sequence What is the nth term of: -1, 5, 15, 29, 47? n = Sequence = 1st difference = 2nd difference =ħ What could we call this type of sequence? Main: nth term of a quadratic sequence What is the nth term of: -1, 5, 15, 29, 47? Main: find the nth term of a quadratic sequence What is the nth term of: -1, 5, 15, 29, 47? What’s the problem in this sequence? None of these 6n-7 A) B) -1n +6 6-1n C) D)ĥ What is the nth term of: -1, 5, 15, 29, 47? All pupils can find nth term of an arithmetic sequence All pupils can list the sequence using the nth term Some pupils can find the nth term of a quadratic sequenceĢ Starter: nth term of arithmetic and geometric sequences ![]()
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