The nth term is: 3n+1 and so the next number will be 16
The nth term is n2.
5n+1
Formula for nth termTn = a + (4n - 1) {where a is the first term and n is natural number}
n2
The answer is 128/(2^(n-1)) if the 1st term is 128. The divisor is found by the realization that these are decreasing powers of two.
The nth term is: 3n+1 and so the next number will be 16
Clearly, if you omit the sign, the nth. term will be 4n. The alternating sign can easily be expressed as a power of (-1), so in summary, the nth. term is (-1)n4n.
The nth term is 22n and so the next number will be 5*22 = 110
The nth term is n2.
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.
5n+1
Formula for nth termTn = a + (4n - 1) {where a is the first term and n is natural number}
n2
2n+1
t(3) = 10 - 32 = 1
The nth term is 2n2. (One way to find that is to notice at all the numbers are even, then divide them by 2. The sequence becomes 1, 4, 9, 16, 25, which are the square numbers in order.)