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There are infinitely many rules based on polynomials of order 5 or above, as well as non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.

The simplest rule, based on a polynomial or order 2 is

Un = n^2 - 1.

But it can also be

Un = (-n^5 + 15n^4 - 85n^3 + 245n^2 - 274n + 100)/20.

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Q: What is the nth term for 0 3 8 15 24?
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What is nth term for 0 3 8 15 24?

Oh, what a beautiful sequence of numbers you've created! To find the pattern, we can see that each number is increasing by adding consecutive odd numbers. The nth term for this sequence can be found using the formula n^2 + n. Just like painting, sometimes all we need is a little patience and observation to uncover the hidden beauty within patterns.


What is the nth term of the sequence 18 12 6 0 -6?

To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.


Find nth term for sequence 0 5 10 15 20 25 30 35?

This is an arithmetic progression. In general, If an A.P. has a first term 'a', and a common difference 'd' then the nth term is a + (n - 1)d. In the sequence shown in the question, the first term is 0 and the common difference is 5, therefore the nth term is, 0 + (n - 1)5. This can be rearranged to read : 5(n - 1) For example : the 7th term is 30 : 5(7 - 1) = 5 x 6 = 30.


What is the nth term for 4 14 24 34?

You can see that you add 10 to the previous term to get the next term. Term number 1 2 3 4 Term 4 14 24 34 You can also say: Term number 1 2 3 4 Term 0*10+4 1*10+4 2*10+4 3*10+4 So the nth term would be 10(n-1)+4 Or if you expand it, it's 10n-6


What is the nth term for the sequence 0 4 12 24 40 60?

An = 2(n - 1)2 + 2(n - 1) = 2n(n - 1)

Related questions

What is the nth term for 18 12 6 0 -6?

Well, darling, the nth term for the sequence 18, 12, 6, 0, -6 is -6n + 24. So, if you plug in n = 1, you get 18; n = 2 gives you 12, and so on. Just a little math magic for you to enjoy!


What is nth term for 0 3 8 15 24?

Oh, what a beautiful sequence of numbers you've created! To find the pattern, we can see that each number is increasing by adding consecutive odd numbers. The nth term for this sequence can be found using the formula n^2 + n. Just like painting, sometimes all we need is a little patience and observation to uncover the hidden beauty within patterns.


What is the nth term of the sequence 18 12 6 0 -6?

To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.


What is the nth term of 6 n - 6 in maths?

0


Find nth term for sequence 0 5 10 15 20 25 30 35?

This is an arithmetic progression. In general, If an A.P. has a first term 'a', and a common difference 'd' then the nth term is a + (n - 1)d. In the sequence shown in the question, the first term is 0 and the common difference is 5, therefore the nth term is, 0 + (n - 1)5. This can be rearranged to read : 5(n - 1) For example : the 7th term is 30 : 5(7 - 1) = 5 x 6 = 30.


What is the nth term for 0 -1 -2 -3 -4?

n - 1


What is the simple formula for the nth term of the arithmetic sequence 7 3 -1 -5 -9?

7 - 4n where n denotes the nth term and n starting with 0


What are the first four terms of a sequence and what term number is -32 when the nth term is 8 -2n?

If the nth term is 8 -2n then the 1st four terms are 6, 4, 2, 0 and -32 is the 20th term number


What is the nth term to -6 -3 0 3 6?

n-9+3


What is the nth term for 4 14 24 34?

You can see that you add 10 to the previous term to get the next term. Term number 1 2 3 4 Term 4 14 24 34 You can also say: Term number 1 2 3 4 Term 0*10+4 1*10+4 2*10+4 3*10+4 So the nth term would be 10(n-1)+4 Or if you expand it, it's 10n-6


What is the nth term for the sequence 0 4 12 24 40 60?

An = 2(n - 1)2 + 2(n - 1) = 2n(n - 1)


What is the nth term for 0 1 1 2 3 5 8 13?

This is the Fibonacci sequence, where the number is the sum of the two preceding numbers. The nth term is the (n-1)th term added to (n-2)th term