The sequence 3, 7, 11 is an arithmetic sequence where the first term is 3 and the common difference is 4. The nth term formula for an arithmetic sequence can be expressed as ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Substituting the values, the nth term formula for this sequence is ( a_n = 3 + (n - 1) \cdot 4 ), which simplifies to ( a_n = 4n - 1 ).
To find the nth term formula for the sequence -4, -1, 4, 11, 20, 31, we first observe the differences between consecutive terms: 3, 5, 7, 9, 11, which are increasing by 2. This indicates a quadratic relationship. The nth term formula can be derived as ( a_n = n^2 + n - 4 ).
The nth term in the sequence -5, -7, -9, -11, -13 can be represented by the formula a_n = -2n - 3, where n is the position of the term in the sequence. In this case, the common difference between each term is -2, indicating a linear sequence. By substituting the position n into the formula, you can find the value of the nth term in the sequence.
If you mean: 15 11 7 3 then the nth term is 19-4n
The sequence 5, 8, 11, 14, 17 is an arithmetic progression where each term increases by 3. The first term (a) is 5, and the common difference (d) is 3. The nth term can be expressed using the formula: ( a_n = a + (n-1)d ). Therefore, the nth term is ( a_n = 5 + (n-1) \cdot 3 = 3n + 2 ).
If you mean -1 3 7 11 15 then the nth term is 4n-5 and so the next term will be 19
To find the nth term formula for the sequence -4, -1, 4, 11, 20, 31, we first observe the differences between consecutive terms: 3, 5, 7, 9, 11, which are increasing by 2. This indicates a quadratic relationship. The nth term formula can be derived as ( a_n = n^2 + n - 4 ).
The nth term in this sequence is 4n + 3.
The nth term in the sequence -5, -7, -9, -11, -13 can be represented by the formula a_n = -2n - 3, where n is the position of the term in the sequence. In this case, the common difference between each term is -2, indicating a linear sequence. By substituting the position n into the formula, you can find the value of the nth term in the sequence.
If you mean: 15 11 7 3 then the nth term is 19-4n
If you mean -1 3 7 11 15 then the nth term is 4n-5 and so the next term will be 19
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
It is: nth term = 5-4n and so the next term will be -19
The simplest, out of infinitely many possible answers, is the linear polynomial,U(n) = 4n - 1 for n = 1, 2, 3, ...
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
The sequence 0, 3, 6, 9, 12 is an arithmetic sequence where the first term is 0 and the common difference is 3. The formula for the nth term can be expressed as ( a_n = 3(n - 1) ) or simply ( a_n = 3n - 3 ). This formula generates the nth term by multiplying the term's position (n) by 3 and adjusting for the starting point of the sequence.
The nth term is 4n-1 and so the next term will be 19
Well, darling, it looks like we're dealing with a sequence where each number is increasing by a prime number. The nth formula for this sequence would be n^2 + n + 7. So, if you plug in n=1, you get 8; n=2 gives you 11; n=3 spits out 16; and so on. Keep it sassy and stay fabulous, my friend!