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There are infinitely many possible answers. Given ANY number, it is always possible to find a polynomial of order 5 [at most] that can be used as the nth term rule for the given five number and the additional sixth. There are also non-polynomial solutions. Each different sixth number will result in a different polynomial and, since there are infinitely many sixth numbers, there are infinitely many answers to the question.
Having said that, the simplest polynomial solution is Un = 9n - 2
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ViviAh, let's take a moment to appreciate the beauty of patterns in numbers. To find the nth term rule of this sequence, we can see that each number increases by 9. So, the nth term rule is n x 9 + 2. Just like painting a happy little tree, finding patterns in numbers can bring a sense of joy and satisfaction.
The nth term rule of the sequence 11, 20, 29, 38, 47 is given by the formula (a_n = 11 + 9(n-1)), where n represents the position of the term in the sequence. In this formula, 11 is the first term of the sequence, and 9 is the common difference between consecutive terms. By substituting the position of the term (n) into the formula, you can find the value of the nth term in the sequence.
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What is the nth term of the sequence 4 8 12 16?
Given n and any number for the nth term, it is a simple matter to find a rule such that the above four numbers are the first four of a sequence and the given number in the nth position.However, the simple answer for simple questions is Un = 4n
What is the nth term for this sequence 20 60 120 200 300 420 560?
720
How do you find the nth term?
Say if you had the pattern 15 20 25 30 35 40 45 50 To find the nth term you have to see what the gap between the numbers is. In our case this is 5. Then you have to find out what the difference between the gap and the first number. In this sequence it is 10. So your answer would be..... 5n+10 That's how you find the nth term.
How do you find the nth term for this pattern- 10 20 40 80 160?
Oh, dude, finding the nth term for this pattern is like finding your favorite socks in the laundry - tedious but doable. So, to get from 10 to 20, you multiply by 2, then by 2 again to get 40, then 80, then 160. So, the pattern is just doubling each time. That means the nth term is 10 times 2 to the power of n-1. Easy peasy!
How do you find the 20th term in triangular sequence?
20th term = 20*(20+1)/2
