23-2n
this guy has a great way of explaining it, so look at his...
Assuming the pattern would continue: 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13...
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 ).
It is increasing by 4 and the nth term is 4n+1
The sequence 17, 21, 25, 29 increases by 4 each time. This means it is an arithmetic sequence where the first term ( a = 17 ) and the common difference ( d = 4 ). The nth term of an arithmetic sequence can be calculated using the formula ( a_n = a + (n-1) \cdot d ). For the 52nd term: ( a_{52} = 17 + (52-1) \cdot 4 = 17 + 204 = 221 ).
The given sequence is -1, -6, -11, -16, -21. To find the nth term, we can identify that the sequence decreases by 5 each time. Thus, the nth term can be expressed as: ( a_n = -1 - 5(n-1) ), which simplifies to ( a_n = -5n + 4 ).
It is: 27-2n
2n +29
It is 4n+5 and so the next term will be 25
Assuming the pattern would continue: 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13...
nth term = 5 +8n
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 ).
It is increasing by 4 and the nth term is 4n+1
Clearly here the nth term isn't n25.
The given sequence (7, 14, 21, 28, 35,....) is an arithmetic sequence where each term increases by 7. The nth term of the given sequence is 7n
To find the nth term of a sequence, we need to identify the pattern between the numbers. Looking at the differences between consecutive terms, we see that the differences are increasing by 9, 15, 21, and so on. This indicates that the sequence is following a pattern of adding consecutive odd numbers (1, 3, 5, 7, ...). Therefore, the nth term of this sequence can be expressed as n^2 + 7.
It is 5n-4 and so the next term will be 21
5n+1