Quadratic Sequences: nth Term | Algebra | Maths | FuseSchool
128.5 هزار بار بازدید -
7 سال پیش
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In this video we look
In this video we look at quadratic sequences, and how to find the nth term for them. In quadratic sequences, the first difference changes every time. So instead, we look at the second differences. If the second difference is constant, the sequence is quadratic. This means the nth term rule contains an n-squared term. For the sequence 5, 9, 15, 23, 33 start by finding the first and second differences. The second difference is constant at 2. Because there is a constant second difference so it’s going to be n-squared. As the second difference is 2, it will be 1 n-squared. Always half the second difference. Now write out the original sequence: 5, 9, 15, 23, 33. And the 1n-squared underneath it: 1, 4, 9, 16, 25. Compare the difference. So 5 to 1 is 4. 8 to 4 is 4. 13 to 9 is 4, and so on. All you need to do is find the nth term of this sequence, and you have your quadratic nth term formula: n-squared + 4. For this sequence: 5, 12, 23, 38, 57, ... the second difference is 4 and so the quadratic will be 2n-squared as we have halved the second difference. Now write out the original sequence: 5, 12, 23, 38, 57 and 2 n-squared underneath it: 2, 8, 18, 32, 50. Find the difference between the two: 3, 4, 5, 6, 7. The nth term rule for this is n + 2. So the nth term rule for this quadratic formula is 2n2 + n + 2.
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SUBSCRIBE to the FuseSchool YouTube channel for many more educational videos. Our teachers and animators come together to make fun & easy-to-understand videos in Chemistry, Biology, Physics, Maths & ICT.
VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders, and to see what else we have on offer. Comment, like and share with other learners. You can both ask and answer questions, and teachers will get back to you.
These videos can be used in a flipped classroom model or as a revision aid.
Find all of our Chemistry videos here:
Complete & Incomplete Combustion | En...
Find all of our Biology videos here:
The Lymphatic System | Physiology | B...
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Video
Twitter: Twitter: fuseSchool
Access a deeper Learning Experience in the FuseSchool platform and app: www.fuseschool.org
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This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.org/licenses/b... ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: [email protected]
7 سال پیش
در تاریخ 1396/04/20 منتشر شده
است.
128,503
بـار بازدید شده