Is A Number In A Sequence | Algebra | Maths | FuseSchool

In this video we are going to look at how we work out whether a number is in sequence or not. We looked at finding the nth term rule, generating sequences from it and finding terms in a sequence from the nth term rule in part 1. Is 730 a term in the sequence 3n + 11? 730 isn’t the term, so we cannot substitute it in for n. We have to make the nth term rule equal to 730. 3n + 11 = 730, and then solve for 'n'. n = 239.7. Because n has come out as a decimal place, it means 730 is not in the sequence. Looking at another example: Is 265 a term in the sequence 4n + 5? Again, solve for n by solving this equation: 4n + 5 = 265. n = 65. Because 65 is a whole number it means that 265 is in the sequence. 265 is the 65th term in the sequence. 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. 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/by-nc/4.0/ ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org Click here to see more videos: https://alugha.com/FuseSchool Twitter: https://twitter.com/fuseSchool

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Substitution | Algebra | Maths | FuseSchool

In algebra, we replace a letter with numbers in the process known as substitution. Given the formula A = 1/2bh, if the base is 5cm and the height is 10cm, then the area is ½ X 5 X 10 because we have replaced the b with 5 and the h with 10. You just need to be be careful with negative numbers: it is