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.
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