The nth term is: 3n-7 and so the next number will be 11
n - 1
The nth term is: 3n-7 and so the next number will be 11
The given sequence is -2, -4, -6, which is an arithmetic sequence where each term decreases by 2. The first term (a) is -2, and the common difference (d) is -2. The nth term can be expressed using the formula ( a_n = a + (n-1)d ). Thus, the nth term is given by ( a_n = -2 + (n-1)(-2) = -2n ).
The nth term is 22n and so the next number will be 5*22 = 110
3n-2
3n-2
1254
1 4 9 is a series of squared numbers. The nth term is [ n squared ]
To find the nth term of the sequence -4, -1, 4, 11, 20, 31, we first identify the pattern in the differences between the terms: 3, 5, 7, 9, 11, which increases by 2 each time. This suggests a quadratic relationship. The nth term can be expressed as ( a_n = n^2 + n - 4 ). Thus, the nth term of the sequence is ( a_n = n^2 + n - 4 ).
The sequence 4, 6, 8, 10 is an arithmetic sequence where each term increases by 2. The nth term formula can be expressed as ( a_n = 4 + (n - 1) \cdot 2 ). Simplifying this gives ( a_n = 2n + 2 ). Thus, the nth term of the sequence is ( 2n + 2 ).
The given sequence appears to be increasing by 10 each time. To find the nth term, we can use the formula for arithmetic sequences: nth term = first term + (n-1) * common difference. In this case, the first term is 4 and the common difference is 10. Therefore, the nth term for this sequence would be 4 + (n-1) * 10, which simplifies to 10n - 6.
The nth term is (2n - 12).