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What is the 100th term in the Fibonacci sequence?
If the sequence is taken to start 1,1,2,... then the 100th term is 354,224,848,179,261,915,075 And you've got to hope I have typed that in correctly!
How is the recursive form of a sequence sometimes more useful than the closed form where a rule is found to find any term based on its position in the sequence?
"The recursive form is very useful when there aren't too many terms in the sequence. For instance, it would be fairly easy to find the 5th term of a sequence recursively, but the closed form might be better for the 100th term. On the other hand, finding the closed form can be very difficult, depending on the sequence. With computers or graphing calculators, the 100th term can be found quickly recursively."
What is the 100th term if the pattern goes 4 10 18 28 40?
Well, honey, it looks like we've got ourselves an arithmetic sequence here. Each term is increasing by 6, 8, 10, and 12 respectively. So, if we keep following that pattern, the 100th term would be 6 more than the 99th term, which is 12 more than the 98th term, and so on. Just keep adding 14 to each successive term and you'll eventually get to that 100th term.
How do you find the 100th term of a sequence in nth?
you replace the "n" with ahundred e.g... if it's 2n+1, you will go 2x100+ 1 which is 201
What sequence is formed by subtracting each term of a sequence from the next term?
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
