[ 25 - 6n ] is.
The sequence 1, 7, 13, 19, 25 is an arithmetic sequence where each term increases by 6. The first term (a) is 1, and the common difference (d) is 6. The nth term can be expressed using the formula: ( a_n = a + (n - 1)d ). Therefore, the nth term is ( a_n = 1 + (n - 1) \cdot 6 = 6n - 5 ).
T(n) = 25 - 6n
To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 5, 9, 13, 17, and so on. These are increasing by 4 each time. This means that the nth term can be calculated using the formula n^2 + 4n + 1. So, the nth term for the sequence 5, 10, 19, 32, 49 is n^2 + 4n + 1.
The given linear sequence is 13, 7, 1, -5, -11, which has a common difference of -6. To find the nth term rule, we can use the formula for the nth term of an arithmetic sequence: ( a_n = a + (n-1)d ), where ( a ) is the first term and ( d ) is the common difference. Here, ( a = 13 ) and ( d = -6 ), so the nth term can be expressed as ( a_n = 13 + (n-1)(-6) ). Simplifying this gives ( a_n = 19 - 6n ).
It is: nth term = 5-4n and so the next term will be -19
The nth term is 6n+1 and so the next term will be 31
The nth term is: 5-6n
2n+1
The given sequence is an arithmetic sequence with a common difference of 6. To find the nth term of this sequence, we can use the following formula: nth term = first term + (n - 1) x common difference where n is the position of the term we want to find. In this sequence, the first term is 1 and the common difference is 6. Substituting these values into the formula, we get: nth term = 1 + (n - 1) x 6 nth term = 1 + 6n - 6 nth term = 6n - 5 Therefore, the nth term of the sequence 1, 7, 13, 19 is given by the formula 6n - 5.
The sequence 1, 7, 13, 19, 25 is an arithmetic sequence where each term increases by 6. The first term (a) is 1, and the common difference (d) is 6. The nth term can be expressed using the formula: ( a_n = a + (n - 1)d ). Therefore, the nth term is ( a_n = 1 + (n - 1) \cdot 6 = 6n - 5 ).
T(n) = 25 - 6n
3n+7
The nth term is 4n-1 and so the next term will be 19
The given linear sequence is 13, 7, 1, -5, -11, which has a common difference of -6. To find the nth term rule, we can use the formula for the nth term of an arithmetic sequence: ( a_n = a + (n-1)d ), where ( a ) is the first term and ( d ) is the common difference. Here, ( a = 13 ) and ( d = -6 ), so the nth term can be expressed as ( a_n = 13 + (n-1)(-6) ). Simplifying this gives ( a_n = 19 - 6n ).
To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 5, 9, 13, 17, and so on. These are increasing by 4 each time. This means that the nth term can be calculated using the formula n^2 + 4n + 1. So, the nth term for the sequence 5, 10, 19, 32, 49 is n^2 + 4n + 1.
It is: nth term = 5-4n and so the next term will be -19
The sequence 13, 14, 15, 16, 17, 18, 19, 20 is an arithmetic progression where each term increases by 1. The nth term can be expressed by the formula ( a_n = 12 + n ), where ( n ) is the term number starting from 1. For example, for ( n = 1 ), ( a_1 = 12 + 1 = 13 ), and for ( n = 8 ), ( a_8 = 12 + 8 = 20 ).