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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
Ah, 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.
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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?
The first term is 10. Dividing (say) the 3rd term by the 2nd term gives 40/20 = 2 Dividing any two successive terms in this manner results in the same answer. Then 2 is the common ratio. The general formula for the nth term of a Geometric Progression or Series is :- a(n) = ar^n-1.....where a is the first term and r is the common ratio. For the pattern provided, a(n) = 10 x 2^n-1
What are the first 5 terms in the sequence whose nth term is given by 30-2n?
The nth term of the sequence is given by 30 - 2n. To find the first 5 terms, we substitute n = 1, 2, 3, 4, and 5 into the formula. When n = 1, the first term is 30 - 2(1) = 28. When n = 2, the second term is 30 - 2(2) = 26. When n = 3, the third term is 30 - 2(3) = 24. When n = 4, the fourth term is 30 - 2(4) = 22. When n = 5, the fifth term is 30 - 2(5) = 20.
What is the nth term rule of the linear sequence 5 8 11 14 17 . . .?
The nth term is: 3n+2 and so the next number will be 20
Nth term for 11 ,31,51,72?
The given sequence is 11, 31, 51, 72 The nth term of this sequence can be expressed as an = 11 + (n - 1) × 20 Therefore, the nth term is 11 + (n - 1) × 20, where n is the position of the term in the sequence.
What is the nth term fot 20 11 2 -7 -16?
20-9x=n
What is the nth term of. 11 14 17 20?
a (sub n) = 11 + (n - 1) x d
20 17 14 11 8- what is the nth term to this?
20 - (3 * (n - 1))
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 formula for the nth term of this sequence 20 11 2 -7 -16?
Un = 29 - 9n
What is the nth term of 4 12 20 28?
The nth term of the sequence is expressed by the formula 8n - 4.
What is the nth term and and the 14th term of the sequence of numbers 2 8 14 and 20?
They are: nth term = 6n-4 and the 14th term is 80
What is the nth term in 5 10 20?
560
What is the 20th term of the following sequence-6 -4 -2 0?
As can be seen, each succesive term is 2 greater than the last. We can write a rule to calculate the nth term. Here the rule equals 2n - 8. So the 20th term = (2 * 20) - 8 = 32.
What is the formula for nth term?
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
