3n-2
The nth term is: 3n+1 and so the next number will be 16
1+3n
It is: 3n+1
2n+1
13 n 5
nth term = 5 +8n
3n+7
Tn = 1 + 3n
The nth term is: 5-6n
The sequence 1, 4, 7, 10, 13 is an arithmetic sequence where each term increases by 3. The first term (a) is 1, and the common difference (d) is 3. The nth term can be expressed using the formula: ( a_n = a + (n-1)d ). Thus, the nth term is ( a_n = 1 + (n-1) \times 3 = 3n - 2 ).
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 nth term is 6n+1 and so the next term will be 31