That depends what the pattern of the sequence is.
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 ).
To find the 18th term of the arithmetic sequence 3, 10, 17, 24..., first, identify the common difference. The difference between consecutive terms is 7 (10 - 3, 17 - 10, 24 - 17). The formula for the nth term of an arithmetic sequence is given by ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. For the 18th term: ( a_{18} = 3 + (18 - 1) \times 7 = 3 + 119 = 122 ).
-11n + 17
The sequence defined by the expression (27 - 5n) is an arithmetic sequence where (n) is a non-negative integer (0, 1, 2, ...). The first few terms of the sequence can be calculated by substituting values for (n): for (n = 0), the term is 27; for (n = 1), the term is 22; for (n = 2), the term is 17, and so on. The general term decreases by 5 for each increment of (n), resulting in the sequence: 27, 22, 17, 12, 7, 2, -3, ... .
5, 8, 11, 14 and 17.
t(n) = 12*n + 5
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 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.
37
5, 11, 17, 23, 29
To find the 18th term of the arithmetic sequence 3, 10, 17, 24..., first, identify the common difference. The difference between consecutive terms is 7 (10 - 3, 17 - 10, 24 - 17). The formula for the nth term of an arithmetic sequence is given by ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. For the 18th term: ( a_{18} = 3 + (18 - 1) \times 7 = 3 + 119 = 122 ).
29
9, 17, 25, 33, 41
-11n + 17
The sequence defined by the expression (27 - 5n) is an arithmetic sequence where (n) is a non-negative integer (0, 1, 2, ...). The first few terms of the sequence can be calculated by substituting values for (n): for (n = 0), the term is 27; for (n = 1), the term is 22; for (n = 2), the term is 17, and so on. The general term decreases by 5 for each increment of (n), resulting in the sequence: 27, 22, 17, 12, 7, 2, -3, ... .
5, 8, 11, 14 and 17.
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 ).