after -9 it is -15 then -21, -27 and the ninth is -36
Double it minus the previous number.
One of the infinitely many possible rules for the nth term of the sequence is t(n) = 4n - 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 given sequence is -9, -6, -1, 6, 15. To find the nth term, we can observe that the differences between consecutive terms are increasing by 3: (-6 - (-9) = 3), (-1 - (-6) = 5), (6 - (-1) = 7), (15 - 6 = 9). The second differences are constant at 2, indicating a quadratic relationship. The nth term of this sequence can be expressed as ( a_n = n^2 + 2n - 10 ).
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.
The nth term in this sequence is 4n + 3.
The nth term is 4n-1 and so the next term will be 19
The nth term of the sequence is 2n + 1.
Double it minus the previous number.
The nth term of a sequence is the general formula for a sequence. The nth term of this particular sequence would be n+3. This is because each step in the sequence is plus 3 higher than the previous step.
The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.
12 - 5(n-1)
One of the infinitely many possible rules for the nth term of the sequence is t(n) = 4n - 1
3,6,9,12.....
The nth term is 5n-3 and so the next term will be 22
The given sequence is an arithmetic sequence with a common difference of 4 between each term. To find the nth term of an arithmetic sequence, we use the formula: nth term = a + (n-1)d, where a is the first term, d is the common difference, and n is the term number. In this case, the first term (a) is -3, the common difference (d) is 4, and the term number (n) is the position in the sequence. So, the nth term of the given sequence is -3 + (n-1)4 = 4n - 7.
The nth term is 2n+5 and so the next number is 17