t(n) = 12*n + 5
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.
7n - 4
The nth term is: 3n+2 and so the next number will be 20
The differences between terms are 7,9,11,15 The differences of these differences are 2,2,2,2 Thus the formula for the sequence begins with n2 The sequence of numbers minus n2 is 5, 9, 13, 17, 21 The difference between the terms is 4 So the formula continues n2+4n The sequence of numbers minus n2+4n is 1, 1, 1, 1, 1 So the formula for the nth term is n2+4n+1
Just subtract 9.
It is: nth term = 35-9n
It is 4n+5 and so the next term will be 25
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by 9, then 13, then 17, and so on. This pattern indicates that the nth term is given by the formula n^2 + n - 1. So, the nth term of the sequence 0, 9, 22, 39, 60 is n^2 + n - 1.
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 given sequence is an arithmetic sequence where each term increases by 4. The first term (a) is 13, and the common difference (d) is 4. The nth term can be found using the formula: ( a_n = a + (n-1)d ). Therefore, the nth term is ( a_n = 13 + (n-1) \cdot 4 = 4n + 9 ).
The nth term is 5n-3 and so the next term will be 22
The sequence 5, 9, 13, 17 is an arithmetic sequence where each term increases by 4. The first term (a) is 5, and the common difference (d) is 4. The nth term can be expressed using the formula: ( a_n = a + (n-1)d ). Therefore, the nth term is given by ( a_n = 5 + (n-1) \cdot 4 = 4n + 1 ).
-11n + 17
5
7n - 4
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 ).
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 ).