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There are very many possible solutions. The simplest polynomial solution is

t(n) = (n^4 - 14n^3 + 71n^2 + 14n + 24)/24.

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What is the nth of 3 10 17 24?

The sequence 3, 10, 17, 24 increases by 7 each time. To find the nth term, we can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Here, ( a_1 = 3 ) and ( d = 7 ), so the nth term is ( a_n = 3 + (n-1) \times 7 = 7n - 4 ).


What is the nth term of 9 12 17 24 33?

To find the nth term of the sequence 9, 12, 17, 24, 33, we first look at the differences between consecutive terms: 3, 5, 7, and 9. These differences themselves increase by 2, indicating a quadratic relationship. We can derive the nth term formula as ( a_n = n^2 + 8n + 1 ). Thus, the nth term of the sequence can be expressed as ( a_n = n^2 + 8n + 1 ).


What is the nth term of 9 12 17 24 33 44?

To find the nth term of the sequence 9, 12, 17, 24, 33, 44, we first observe the differences between consecutive terms: 3, 5, 7, 9, 11. These differences form an arithmetic sequence with a common difference of 2. This suggests that the nth term can be expressed as a quadratic function. By deriving the formula, the nth term is given by ( a_n = n^2 + 8n - 1 ).


What is the nth term of 6121824..?

If you mean: 6 12 18 24 then the nth term is 6n


How do you Find the 18 term of the arithmetic sequence 3101724...?

To find the 18th term of the arithmetic sequence 3, 10, 17, 24..., first, identify the common difference. The difference between consecutive terms is 7 (10 - 3, 17 - 10, 24 - 17). The formula for the nth term of an arithmetic sequence is given by ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. For the 18th term: ( a_{18} = 3 + (18 - 1) \times 7 = 3 + 119 = 122 ).

Related Questions

What is the nth term for the sequence 10 17 24 31 38?

The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.


What is the nth term of the sequence 3 10 17 24?

7n - 4


What is the term of 3 10 17 24?

The nth term is 7n-4 and so the next number in the sequence is 31


What is the nth of 3 10 17 24?

The sequence 3, 10, 17, 24 increases by 7 each time. To find the nth term, we can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Here, ( a_1 = 3 ) and ( d = 7 ), so the nth term is ( a_n = 3 + (n-1) \times 7 = 7n - 4 ).


What is the nth term for 9 12 17 24 33?

44


What is the nth term for 3 10 17 24 31?

You can see that all the numbers go up by 7. This means that the first part of the nth term rule for this sequence is 7n. Now, you have to find out how to get from 7 to 3, 14 to 10, 21 to 17 ... this is because we are going up in the 7 times table. To get from the seventh times table to the sequence, you take away four. So the answer is : 7n-4


What is the nth term rule of -3,-10,-17,-24,-31?

Subtract 7 from each number, so the 9th number would be 59.


What is the nth term if the sequence is 32 28 24?

The nth term is (36 - 4n)


What is the nth term of 9 12 17 24 33?

To find the nth term of the sequence 9, 12, 17, 24, 33, we first look at the differences between consecutive terms: 3, 5, 7, and 9. These differences themselves increase by 2, indicating a quadratic relationship. We can derive the nth term formula as ( a_n = n^2 + 8n + 1 ). Thus, the nth term of the sequence can be expressed as ( a_n = n^2 + 8n + 1 ).


What is the nth term of 9 12 17 24 33 44?

To find the nth term of the sequence 9, 12, 17, 24, 33, 44, we first observe the differences between consecutive terms: 3, 5, 7, 9, 11. These differences form an arithmetic sequence with a common difference of 2. This suggests that the nth term can be expressed as a quadratic function. By deriving the formula, the nth term is given by ( a_n = n^2 + 8n - 1 ).


What is the nth term of 6121824..?

If you mean: 6 12 18 24 then the nth term is 6n


What is the eleventh term in the sequence 17 24 31 38?

The sequence progresses by adding 7 to the previous term.The nth term is thus equal to 10 + 7n. The 11th term therefore is equal to 10 + (7 * 11) = 10 + 77 = 87.